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Finding the Fourth Proportional to 6,587.14, 9,882.43 and 2,890.10

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Solution

The fourth proportional to 6,587.14, 9,882.43 and 2,890.10 is: 4,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.14 : 9,882.43 = 2,890.10 : x
  2. Step 2: Convert to fraction form
    6,587.14/9,882.43 = 2,890.10/x
  3. Step 3: Cross multiply
    6,587.14x = 9,882.43 × 2,890.10
  4. Step 4: Simplify right side
    6,587.14x = 28,561,210.94
  5. Step 5: Solve for x
    x = 28,561,210.94/6,587.14
  6. Step 6: Final answer
    x = 4,335.90

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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.