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Finding the Fourth Proportional to 10,323.66, 14,248.92 and 6,787.20

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Solution

The fourth proportional to 10,323.66, 14,248.92 and 6,787.20 is: 9,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.66 : 14,248.92 = 6,787.20 : x
  2. Step 2: Convert to fraction form
    10,323.66/14,248.92 = 6,787.20/x
  3. Step 3: Cross multiply
    10,323.66x = 14,248.92 × 6,787.20
  4. Step 4: Simplify right side
    10,323.66x = 96,710,269.82
  5. Step 5: Solve for x
    x = 96,710,269.82/10,323.66
  6. Step 6: Final answer
    x = 9,367.83

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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.