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Finding the Fourth Proportional to 6,616.34, 9,130.51 and 3,632.23

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Solution

The fourth proportional to 6,616.34, 9,130.51 and 3,632.23 is: 5,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.34 : 9,130.51 = 3,632.23 : x
  2. Step 2: Convert to fraction form
    6,616.34/9,130.51 = 3,632.23/x
  3. Step 3: Cross multiply
    6,616.34x = 9,130.51 × 3,632.23
  4. Step 4: Simplify right side
    6,616.34x = 33,164,066.68
  5. Step 5: Solve for x
    x = 33,164,066.68/6,616.34
  6. Step 6: Final answer
    x = 5,012.45

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Half scale
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Double scale
Find fourth proportional to 6,617.34, 9,131.89 and 3,633.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.