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Finding the Fourth Proportional to 9,166.60, 13,749.90 and 5,710.60

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Solution

The fourth proportional to 9,166.60, 13,749.90 and 5,710.60 is: 8,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.60 : 13,749.90 = 5,710.60 : x
  2. Step 2: Convert to fraction form
    9,166.60/13,749.90 = 5,710.60/x
  3. Step 3: Cross multiply
    9,166.60x = 13,749.90 × 5,710.60
  4. Step 4: Simplify right side
    9,166.60x = 78,520,178.94
  5. Step 5: Solve for x
    x = 78,520,178.94/9,166.60
  6. Step 6: Final answer
    x = 8,565.90

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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.