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Finding the Fourth Proportional to 9,470.32, 13,063.80 and 8,803.12

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Solution

The fourth proportional to 9,470.32, 13,063.80 and 8,803.12 is: 12,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.32 : 13,063.80 = 8,803.12 : x
  2. Step 2: Convert to fraction form
    9,470.32/13,063.80 = 8,803.12/x
  3. Step 3: Cross multiply
    9,470.32x = 13,063.80 × 8,803.12
  4. Step 4: Simplify right side
    9,470.32x = 115,002,199.06
  5. Step 5: Solve for x
    x = 115,002,199.06/9,470.32
  6. Step 6: Final answer
    x = 12,143.43

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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.