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Finding the Fourth Proportional to 6,337.40, 9,506.10 and 6,078.20

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Solution

The fourth proportional to 6,337.40, 9,506.10 and 6,078.20 is: 9,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.40 : 9,506.10 = 6,078.20 : x
  2. Step 2: Convert to fraction form
    6,337.40/9,506.10 = 6,078.20/x
  3. Step 3: Cross multiply
    6,337.40x = 9,506.10 × 6,078.20
  4. Step 4: Simplify right side
    6,337.40x = 57,779,977.02
  5. Step 5: Solve for x
    x = 57,779,977.02/6,337.40
  6. Step 6: Final answer
    x = 9,117.30

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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.