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Finding the Fourth Proportional to 9,884.60, 14,826.90 and 9,711.80

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Solution

The fourth proportional to 9,884.60, 14,826.90 and 9,711.80 is: 14,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.60 : 14,826.90 = 9,711.80 : x
  2. Step 2: Convert to fraction form
    9,884.60/14,826.90 = 9,711.80/x
  3. Step 3: Cross multiply
    9,884.60x = 14,826.90 × 9,711.80
  4. Step 4: Simplify right side
    9,884.60x = 143,995,887.42
  5. Step 5: Solve for x
    x = 143,995,887.42/9,884.60
  6. Step 6: Final answer
    x = 14,567.70

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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.