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Finding the Fourth Proportional to 10,470.77, 14,453.03 and 6,704.08

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Solution

The fourth proportional to 10,470.77, 14,453.03 and 6,704.08 is: 9,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.77 : 14,453.03 = 6,704.08 : x
  2. Step 2: Convert to fraction form
    10,470.77/14,453.03 = 6,704.08/x
  3. Step 3: Cross multiply
    10,470.77x = 14,453.03 × 6,704.08
  4. Step 4: Simplify right side
    10,470.77x = 96,894,199.71
  5. Step 5: Solve for x
    x = 96,894,199.71/10,470.77
  6. Step 6: Final answer
    x = 9,253.78

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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.