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Finding the Fourth Proportional to 6,916.24, 9,544.80 and 6,449.68

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Solution

The fourth proportional to 6,916.24, 9,544.80 and 6,449.68 is: 8,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.24 : 9,544.80 = 6,449.68 : x
  2. Step 2: Convert to fraction form
    6,916.24/9,544.80 = 6,449.68/x
  3. Step 3: Cross multiply
    6,916.24x = 9,544.80 × 6,449.68
  4. Step 4: Simplify right side
    6,916.24x = 61,560,905.66
  5. Step 5: Solve for x
    x = 61,560,905.66/6,916.24
  6. Step 6: Final answer
    x = 8,900.92

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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.