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Finding the Fourth Proportional to 5,245.41, 7,868.10 and 1,547.68

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Solution

The fourth proportional to 5,245.41, 7,868.10 and 1,547.68 is: 2,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.41 : 7,868.10 = 1,547.68 : x
  2. Step 2: Convert to fraction form
    5,245.41/7,868.10 = 1,547.68/x
  3. Step 3: Cross multiply
    5,245.41x = 7,868.10 × 1,547.68
  4. Step 4: Simplify right side
    5,245.41x = 12,177,301.01
  5. Step 5: Solve for x
    x = 12,177,301.01/5,245.41
  6. Step 6: Final answer
    x = 2,321.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.