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Finding the Fourth Proportional to 9,647.55, 13,326.12 and 6,658.11

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Solution

The fourth proportional to 9,647.55, 13,326.12 and 6,658.11 is: 9,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.55 : 13,326.12 = 6,658.11 : x
  2. Step 2: Convert to fraction form
    9,647.55/13,326.12 = 6,658.11/x
  3. Step 3: Cross multiply
    9,647.55x = 13,326.12 × 6,658.11
  4. Step 4: Simplify right side
    9,647.55x = 88,726,772.83
  5. Step 5: Solve for x
    x = 88,726,772.83/9,647.55
  6. Step 6: Final answer
    x = 9,196.82

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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.