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Finding the Fourth Proportional to 10,404.40, 14,357.08 and 5,929.24

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Solution

The fourth proportional to 10,404.40, 14,357.08 and 5,929.24 is: 8,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.40 : 14,357.08 = 5,929.24 : x
  2. Step 2: Convert to fraction form
    10,404.40/14,357.08 = 5,929.24/x
  3. Step 3: Cross multiply
    10,404.40x = 14,357.08 × 5,929.24
  4. Step 4: Simplify right side
    10,404.40x = 85,126,573.02
  5. Step 5: Solve for x
    x = 85,126,573.02/10,404.40
  6. Step 6: Final answer
    x = 8,181.79

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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.