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Finding the Fourth Proportional to 7,209.18, 9,942.24 and 4,854.51

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Solution

The fourth proportional to 7,209.18, 9,942.24 and 4,854.51 is: 6,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.18 : 9,942.24 = 4,854.51 : x
  2. Step 2: Convert to fraction form
    7,209.18/9,942.24 = 4,854.51/x
  3. Step 3: Cross multiply
    7,209.18x = 9,942.24 × 4,854.51
  4. Step 4: Simplify right side
    7,209.18x = 48,264,703.50
  5. Step 5: Solve for x
    x = 48,264,703.50/7,209.18
  6. Step 6: Final answer
    x = 6,694.90

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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.