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Finding the Fourth Proportional to 9,011.52, 12,436 and 5,032.80

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Solution

The fourth proportional to 9,011.52, 12,436 and 5,032.80 is: 6,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.52 : 12,436 = 5,032.80 : x
  2. Step 2: Convert to fraction form
    9,011.52/12,436 = 5,032.80/x
  3. Step 3: Cross multiply
    9,011.52x = 12,436 × 5,032.80
  4. Step 4: Simplify right side
    9,011.52x = 62,587,900.80
  5. Step 5: Solve for x
    x = 62,587,900.80/9,011.52
  6. Step 6: Final answer
    x = 6,945.32

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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.