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Finding the Fourth Proportional to 9,124.80, 13,687.20 and 6,937.80

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Solution

The fourth proportional to 9,124.80, 13,687.20 and 6,937.80 is: 10,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.80 : 13,687.20 = 6,937.80 : x
  2. Step 2: Convert to fraction form
    9,124.80/13,687.20 = 6,937.80/x
  3. Step 3: Cross multiply
    9,124.80x = 13,687.20 × 6,937.80
  4. Step 4: Simplify right side
    9,124.80x = 94,959,056.16
  5. Step 5: Solve for x
    x = 94,959,056.16/9,124.80
  6. Step 6: Final answer
    x = 10,406.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.