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Finding the Fourth Proportional to 6,078.57, 9,117.85 and 1,461.57

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Solution

The fourth proportional to 6,078.57, 9,117.85 and 1,461.57 is: 2,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.57 : 9,117.85 = 1,461.57 : x
  2. Step 2: Convert to fraction form
    6,078.57/9,117.85 = 1,461.57/x
  3. Step 3: Cross multiply
    6,078.57x = 9,117.85 × 1,461.57
  4. Step 4: Simplify right side
    6,078.57x = 13,326,340.92
  5. Step 5: Solve for x
    x = 13,326,340.92/6,078.57
  6. Step 6: Final answer
    x = 2,192.35

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Double scale
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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.