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Finding the Fourth Proportional to 10,392.71, 15,584.94 and 6,013.24

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Solution

The fourth proportional to 10,392.71, 15,584.94 and 6,013.24 is: 9,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.71 : 15,584.94 = 6,013.24 : x
  2. Step 2: Convert to fraction form
    10,392.71/15,584.94 = 6,013.24/x
  3. Step 3: Cross multiply
    10,392.71x = 15,584.94 × 6,013.24
  4. Step 4: Simplify right side
    10,392.71x = 93,715,984.61
  5. Step 5: Solve for x
    x = 93,715,984.61/10,392.71
  6. Step 6: Final answer
    x = 9,017.47

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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.