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Finding the Fourth Proportional to 10,591.42, 15,867.06 and 7,070.80

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Solution

The fourth proportional to 10,591.42, 15,867.06 and 7,070.80 is: 10,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.42 : 15,867.06 = 7,070.80 : x
  2. Step 2: Convert to fraction form
    10,591.42/15,867.06 = 7,070.80/x
  3. Step 3: Cross multiply
    10,591.42x = 15,867.06 × 7,070.80
  4. Step 4: Simplify right side
    10,591.42x = 112,192,807.85
  5. Step 5: Solve for x
    x = 112,192,807.85/10,591.42
  6. Step 6: Final answer
    x = 10,592.80

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1.5x scale

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.