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Finding the Fourth Proportional to 6,374.78, 9,561.14 and 1,695.08

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Solution

The fourth proportional to 6,374.78, 9,561.14 and 1,695.08 is: 2,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.78 : 9,561.14 = 1,695.08 : x
  2. Step 2: Convert to fraction form
    6,374.78/9,561.14 = 1,695.08/x
  3. Step 3: Cross multiply
    6,374.78x = 9,561.14 × 1,695.08
  4. Step 4: Simplify right side
    6,374.78x = 16,206,897.19
  5. Step 5: Solve for x
    x = 16,206,897.19/6,374.78
  6. Step 6: Final answer
    x = 2,542.35

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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.