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Finding the Fourth Proportional to 9,815.40, 14,723.10 and 8,713.80

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Solution

The fourth proportional to 9,815.40, 14,723.10 and 8,713.80 is: 13,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.40 : 14,723.10 = 8,713.80 : x
  2. Step 2: Convert to fraction form
    9,815.40/14,723.10 = 8,713.80/x
  3. Step 3: Cross multiply
    9,815.40x = 14,723.10 × 8,713.80
  4. Step 4: Simplify right side
    9,815.40x = 128,294,148.78
  5. Step 5: Solve for x
    x = 128,294,148.78/9,815.40
  6. Step 6: Final answer
    x = 13,070.70

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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.