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Finding the Fourth Proportional to 10,437.76, 14,404.08 and 5,962.90

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Solution

The fourth proportional to 10,437.76, 14,404.08 and 5,962.90 is: 8,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.76 : 14,404.08 = 5,962.90 : x
  2. Step 2: Convert to fraction form
    10,437.76/14,404.08 = 5,962.90/x
  3. Step 3: Cross multiply
    10,437.76x = 14,404.08 × 5,962.90
  4. Step 4: Simplify right side
    10,437.76x = 85,890,088.63
  5. Step 5: Solve for x
    x = 85,890,088.63/10,437.76
  6. Step 6: Final answer
    x = 8,228.79

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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.