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Finding the Fourth Proportional to 6,876.52, 9,492.90 and 4,891.24

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Solution

The fourth proportional to 6,876.52, 9,492.90 and 4,891.24 is: 6,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.52 : 9,492.90 = 4,891.24 : x
  2. Step 2: Convert to fraction form
    6,876.52/9,492.90 = 4,891.24/x
  3. Step 3: Cross multiply
    6,876.52x = 9,492.90 × 4,891.24
  4. Step 4: Simplify right side
    6,876.52x = 46,432,052.20
  5. Step 5: Solve for x
    x = 46,432,052.20/6,876.52
  6. Step 6: Final answer
    x = 6,752.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.