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Finding the Fourth Proportional to 29,471.32, 44,206.55 and 7,284.70

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Solution

The fourth proportional to 29,471.32, 44,206.55 and 7,284.70 is: 10,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.32 : 44,206.55 = 7,284.70 : x
  2. Step 2: Convert to fraction form
    29,471.32/44,206.55 = 7,284.70/x
  3. Step 3: Cross multiply
    29,471.32x = 44,206.55 × 7,284.70
  4. Step 4: Simplify right side
    29,471.32x = 322,031,454.79
  5. Step 5: Solve for x
    x = 322,031,454.79/29,471.32
  6. Step 6: Final answer
    x = 10,926.94

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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.