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Finding the Fourth Proportional to 9,647.10, 14,470.65 and 5,255.28

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Solution

The fourth proportional to 9,647.10, 14,470.65 and 5,255.28 is: 7,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.10 : 14,470.65 = 5,255.28 : x
  2. Step 2: Convert to fraction form
    9,647.10/14,470.65 = 5,255.28/x
  3. Step 3: Cross multiply
    9,647.10x = 14,470.65 × 5,255.28
  4. Step 4: Simplify right side
    9,647.10x = 76,047,317.53
  5. Step 5: Solve for x
    x = 76,047,317.53/9,647.10
  6. Step 6: Final answer
    x = 7,882.92

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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.