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Finding the Fourth Proportional to 8,670.94, 13,000.52 and 3,402.66

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Solution

The fourth proportional to 8,670.94, 13,000.52 and 3,402.66 is: 5,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.94 : 13,000.52 = 3,402.66 : x
  2. Step 2: Convert to fraction form
    8,670.94/13,000.52 = 3,402.66/x
  3. Step 3: Cross multiply
    8,670.94x = 13,000.52 × 3,402.66
  4. Step 4: Simplify right side
    8,670.94x = 44,236,349.38
  5. Step 5: Solve for x
    x = 44,236,349.38/8,670.94
  6. Step 6: Final answer
    x = 5,101.68

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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.