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Finding the Fourth Proportional to 7,180.52, 9,916.62 and 4,948.16

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Solution

The fourth proportional to 7,180.52, 9,916.62 and 4,948.16 is: 6,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.52 : 9,916.62 = 4,948.16 : x
  2. Step 2: Convert to fraction form
    7,180.52/9,916.62 = 4,948.16/x
  3. Step 3: Cross multiply
    7,180.52x = 9,916.62 × 4,948.16
  4. Step 4: Simplify right side
    7,180.52x = 49,069,022.42
  5. Step 5: Solve for x
    x = 49,069,022.42/7,180.52
  6. Step 6: Final answer
    x = 6,833.63

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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.