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Finding the Fourth Proportional to 6,598.90, 9,898.35 and 5,778.10

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Solution

The fourth proportional to 6,598.90, 9,898.35 and 5,778.10 is: 8,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.90 : 9,898.35 = 5,778.10 : x
  2. Step 2: Convert to fraction form
    6,598.90/9,898.35 = 5,778.10/x
  3. Step 3: Cross multiply
    6,598.90x = 9,898.35 × 5,778.10
  4. Step 4: Simplify right side
    6,598.90x = 57,193,656.14
  5. Step 5: Solve for x
    x = 57,193,656.14/6,598.90
  6. Step 6: Final answer
    x = 8,667.15

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Similar ratio
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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.