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Finding the Fourth Proportional to 10,713.59, 14,771.02 and 8,319.50

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Solution

The fourth proportional to 10,713.59, 14,771.02 and 8,319.50 is: 11,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.59 : 14,771.02 = 8,319.50 : x
  2. Step 2: Convert to fraction form
    10,713.59/14,771.02 = 8,319.50/x
  3. Step 3: Cross multiply
    10,713.59x = 14,771.02 × 8,319.50
  4. Step 4: Simplify right side
    10,713.59x = 122,887,532.62
  5. Step 5: Solve for x
    x = 122,887,532.62/10,713.59
  6. Step 6: Final answer
    x = 11,470.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.