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Finding the Fourth Proportional to 6,854.46, 9,452.13 and 4,464.55

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Solution

The fourth proportional to 6,854.46, 9,452.13 and 4,464.55 is: 6,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.46 : 9,452.13 = 4,464.55 : x
  2. Step 2: Convert to fraction form
    6,854.46/9,452.13 = 4,464.55/x
  3. Step 3: Cross multiply
    6,854.46x = 9,452.13 × 4,464.55
  4. Step 4: Simplify right side
    6,854.46x = 42,199,502.06
  5. Step 5: Solve for x
    x = 42,199,502.06/6,854.46
  6. Step 6: Final answer
    x = 6,156.51

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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.