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Finding the Fourth Proportional to 6,587.64, 9,889.14 and 5,201.90

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Solution

The fourth proportional to 6,587.64, 9,889.14 and 5,201.90 is: 7,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.64 : 9,889.14 = 5,201.90 : x
  2. Step 2: Convert to fraction form
    6,587.64/9,889.14 = 5,201.90/x
  3. Step 3: Cross multiply
    6,587.64x = 9,889.14 × 5,201.90
  4. Step 4: Simplify right side
    6,587.64x = 51,442,317.37
  5. Step 5: Solve for x
    x = 51,442,317.37/6,587.64
  6. Step 6: Final answer
    x = 7,808.91

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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.