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Finding the Fourth Proportional to 9,602.01, 13,243.10 and 6,617.16

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Solution

The fourth proportional to 9,602.01, 13,243.10 and 6,617.16 is: 9,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.01 : 13,243.10 = 6,617.16 : x
  2. Step 2: Convert to fraction form
    9,602.01/13,243.10 = 6,617.16/x
  3. Step 3: Cross multiply
    9,602.01x = 13,243.10 × 6,617.16
  4. Step 4: Simplify right side
    9,602.01x = 87,631,678.51
  5. Step 5: Solve for x
    x = 87,631,678.51/9,602.01
  6. Step 6: Final answer
    x = 9,126.39

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Half scale
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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.