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Finding the Fourth Proportional to 9,047.70, 13,565.48 and 4,114.80

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Solution

The fourth proportional to 9,047.70, 13,565.48 and 4,114.80 is: 6,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.70 : 13,565.48 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    9,047.70/13,565.48 = 4,114.80/x
  3. Step 3: Cross multiply
    9,047.70x = 13,565.48 × 4,114.80
  4. Step 4: Simplify right side
    9,047.70x = 55,819,216.53
  5. Step 5: Solve for x
    x = 55,819,216.53/9,047.70
  6. Step 6: Final answer
    x = 6,169.44

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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.