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Finding the Fourth Proportional to 7,718.31, 11,592.85 and 7,283.12

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Solution

The fourth proportional to 7,718.31, 11,592.85 and 7,283.12 is: 10,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.31 : 11,592.85 = 7,283.12 : x
  2. Step 2: Convert to fraction form
    7,718.31/11,592.85 = 7,283.12/x
  3. Step 3: Cross multiply
    7,718.31x = 11,592.85 × 7,283.12
  4. Step 4: Simplify right side
    7,718.31x = 84,432,117.69
  5. Step 5: Solve for x
    x = 84,432,117.69/7,718.31
  6. Step 6: Final answer
    x = 10,939.20

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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.