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Finding the Fourth Proportional to 9,658.76, 14,468.66 and 8,094.38

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Solution

The fourth proportional to 9,658.76, 14,468.66 and 8,094.38 is: 12,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.76 : 14,468.66 = 8,094.38 : x
  2. Step 2: Convert to fraction form
    9,658.76/14,468.66 = 8,094.38/x
  3. Step 3: Cross multiply
    9,658.76x = 14,468.66 × 8,094.38
  4. Step 4: Simplify right side
    9,658.76x = 117,114,719.32
  5. Step 5: Solve for x
    x = 117,114,719.32/9,658.76
  6. Step 6: Final answer
    x = 12,125.24

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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.