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Finding the Fourth Proportional to 10,606.98, 15,913.52 and 6,394.98

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Solution

The fourth proportional to 10,606.98, 15,913.52 and 6,394.98 is: 9,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.98 : 15,913.52 = 6,394.98 : x
  2. Step 2: Convert to fraction form
    10,606.98/15,913.52 = 6,394.98/x
  3. Step 3: Cross multiply
    10,606.98x = 15,913.52 × 6,394.98
  4. Step 4: Simplify right side
    10,606.98x = 101,766,642.13
  5. Step 5: Solve for x
    x = 101,766,642.13/10,606.98
  6. Step 6: Final answer
    x = 9,594.31

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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.