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Finding the Fourth Proportional to 9,838.56, 14,681.75 and 8,787.24

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Solution

The fourth proportional to 9,838.56, 14,681.75 and 8,787.24 is: 13,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.56 : 14,681.75 = 8,787.24 : x
  2. Step 2: Convert to fraction form
    9,838.56/14,681.75 = 8,787.24/x
  3. Step 3: Cross multiply
    9,838.56x = 14,681.75 × 8,787.24
  4. Step 4: Simplify right side
    9,838.56x = 129,012,060.87
  5. Step 5: Solve for x
    x = 129,012,060.87/9,838.56
  6. Step 6: Final answer
    x = 13,112.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.