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Finding the Fourth Proportional to 9,354.24, 14,034.12 and 4,971.12

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Solution

The fourth proportional to 9,354.24, 14,034.12 and 4,971.12 is: 7,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.24 : 14,034.12 = 4,971.12 : x
  2. Step 2: Convert to fraction form
    9,354.24/14,034.12 = 4,971.12/x
  3. Step 3: Cross multiply
    9,354.24x = 14,034.12 × 4,971.12
  4. Step 4: Simplify right side
    9,354.24x = 69,765,294.61
  5. Step 5: Solve for x
    x = 69,765,294.61/9,354.24
  6. Step 6: Final answer
    x = 7,458.15

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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.