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Finding the Fourth Proportional to 12,532.70, 17,297.07 and 7,155.11

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Solution

The fourth proportional to 12,532.70, 17,297.07 and 7,155.11 is: 9,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.70 : 17,297.07 = 7,155.11 : x
  2. Step 2: Convert to fraction form
    12,532.70/17,297.07 = 7,155.11/x
  3. Step 3: Cross multiply
    12,532.70x = 17,297.07 × 7,155.11
  4. Step 4: Simplify right side
    12,532.70x = 123,762,438.53
  5. Step 5: Solve for x
    x = 123,762,438.53/12,532.70
  6. Step 6: Final answer
    x = 9,875.16

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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.