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Finding the Fourth Proportional to 6,616.76, 9,130.68 and 3,632

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Solution

The fourth proportional to 6,616.76, 9,130.68 and 3,632 is: 5,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.76 : 9,130.68 = 3,632 : x
  2. Step 2: Convert to fraction form
    6,616.76/9,130.68 = 3,632/x
  3. Step 3: Cross multiply
    6,616.76x = 9,130.68 × 3,632
  4. Step 4: Simplify right side
    6,616.76x = 33,162,629.76
  5. Step 5: Solve for x
    x = 33,162,629.76/6,616.76
  6. Step 6: Final answer
    x = 5,011.91

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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.