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Finding the Fourth Proportional to 7,214.52, 9,949.44 and 4,557.30

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Solution

The fourth proportional to 7,214.52, 9,949.44 and 4,557.30 is: 6,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.52 : 9,949.44 = 4,557.30 : x
  2. Step 2: Convert to fraction form
    7,214.52/9,949.44 = 4,557.30/x
  3. Step 3: Cross multiply
    7,214.52x = 9,949.44 × 4,557.30
  4. Step 4: Simplify right side
    7,214.52x = 45,342,582.91
  5. Step 5: Solve for x
    x = 45,342,582.91/7,214.52
  6. Step 6: Final answer
    x = 6,284.91

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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.