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Finding the Fourth Proportional to 12,532.65, 17,283.07 and 7,496.02

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Solution

The fourth proportional to 12,532.65, 17,283.07 and 7,496.02 is: 10,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.65 : 17,283.07 = 7,496.02 : x
  2. Step 2: Convert to fraction form
    12,532.65/17,283.07 = 7,496.02/x
  3. Step 3: Cross multiply
    12,532.65x = 17,283.07 × 7,496.02
  4. Step 4: Simplify right side
    12,532.65x = 129,554,220.75
  5. Step 5: Solve for x
    x = 129,554,220.75/12,532.65
  6. Step 6: Final answer
    x = 10,337.34

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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.