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Finding the Fourth Proportional to 7,142.87, 9,844.58 and 6,026.69

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Solution

The fourth proportional to 7,142.87, 9,844.58 and 6,026.69 is: 8,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.87 : 9,844.58 = 6,026.69 : x
  2. Step 2: Convert to fraction form
    7,142.87/9,844.58 = 6,026.69/x
  3. Step 3: Cross multiply
    7,142.87x = 9,844.58 × 6,026.69
  4. Step 4: Simplify right side
    7,142.87x = 59,330,152.48
  5. Step 5: Solve for x
    x = 59,330,152.48/7,142.87
  6. Step 6: Final answer
    x = 8,306.21

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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.