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Finding the Fourth Proportional to 10,703.64, 16,038.18 and 6,591

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Solution

The fourth proportional to 10,703.64, 16,038.18 and 6,591 is: 9,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.64 : 16,038.18 = 6,591 : x
  2. Step 2: Convert to fraction form
    10,703.64/16,038.18 = 6,591/x
  3. Step 3: Cross multiply
    10,703.64x = 16,038.18 × 6,591
  4. Step 4: Simplify right side
    10,703.64x = 105,707,644.38
  5. Step 5: Solve for x
    x = 105,707,644.38/10,703.64
  6. Step 6: Final answer
    x = 9,875.86

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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.