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Finding the Fourth Proportional to 10,313.42, 15,470.12 and 5,928.08

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Solution

The fourth proportional to 10,313.42, 15,470.12 and 5,928.08 is: 8,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.42 : 15,470.12 = 5,928.08 : x
  2. Step 2: Convert to fraction form
    10,313.42/15,470.12 = 5,928.08/x
  3. Step 3: Cross multiply
    10,313.42x = 15,470.12 × 5,928.08
  4. Step 4: Simplify right side
    10,313.42x = 91,708,001.98
  5. Step 5: Solve for x
    x = 91,708,001.98/10,313.42
  6. Step 6: Final answer
    x = 8,892.11

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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.