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Finding the Fourth Proportional to 8,146.60, 11,230.02 and 7,023.40

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Solution

The fourth proportional to 8,146.60, 11,230.02 and 7,023.40 is: 9,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.60 : 11,230.02 = 7,023.40 : x
  2. Step 2: Convert to fraction form
    8,146.60/11,230.02 = 7,023.40/x
  3. Step 3: Cross multiply
    8,146.60x = 11,230.02 × 7,023.40
  4. Step 4: Simplify right side
    8,146.60x = 78,872,922.47
  5. Step 5: Solve for x
    x = 78,872,922.47/8,146.60
  6. Step 6: Final answer
    x = 9,681.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.