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Finding the Fourth Proportional to 7,884.76, 11,814.77 and 4,956.92

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Solution

The fourth proportional to 7,884.76, 11,814.77 and 4,956.92 is: 7,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.76 : 11,814.77 = 4,956.92 : x
  2. Step 2: Convert to fraction form
    7,884.76/11,814.77 = 4,956.92/x
  3. Step 3: Cross multiply
    7,884.76x = 11,814.77 × 4,956.92
  4. Step 4: Simplify right side
    7,884.76x = 58,564,869.71
  5. Step 5: Solve for x
    x = 58,564,869.71/7,884.76
  6. Step 6: Final answer
    x = 7,427.60

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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.