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Finding the Fourth Proportional to 5,698.71, 8,548.16 and 1,538.73

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Solution

The fourth proportional to 5,698.71, 8,548.16 and 1,538.73 is: 2,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.71 : 8,548.16 = 1,538.73 : x
  2. Step 2: Convert to fraction form
    5,698.71/8,548.16 = 1,538.73/x
  3. Step 3: Cross multiply
    5,698.71x = 8,548.16 × 1,538.73
  4. Step 4: Simplify right side
    5,698.71x = 13,153,302.54
  5. Step 5: Solve for x
    x = 13,153,302.54/5,698.71
  6. Step 6: Final answer
    x = 2,308.12

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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.