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Finding the Fourth Proportional to 10,144.08, 14,001 and 5,953.20

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Solution

The fourth proportional to 10,144.08, 14,001 and 5,953.20 is: 8,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.08 : 14,001 = 5,953.20 : x
  2. Step 2: Convert to fraction form
    10,144.08/14,001 = 5,953.20/x
  3. Step 3: Cross multiply
    10,144.08x = 14,001 × 5,953.20
  4. Step 4: Simplify right side
    10,144.08x = 83,350,753.20
  5. Step 5: Solve for x
    x = 83,350,753.20/10,144.08
  6. Step 6: Final answer
    x = 8,216.69

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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.