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Finding the Fourth Proportional to 9,451.64, 14,159.00 and 6,948.21

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Solution

The fourth proportional to 9,451.64, 14,159.00 and 6,948.21 is: 10,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.64 : 14,159.00 = 6,948.21 : x
  2. Step 2: Convert to fraction form
    9,451.64/14,159.00 = 6,948.21/x
  3. Step 3: Cross multiply
    9,451.64x = 14,159.00 × 6,948.21
  4. Step 4: Simplify right side
    9,451.64x = 98,379,656.39
  5. Step 5: Solve for x
    x = 98,379,656.39/9,451.64
  6. Step 6: Final answer
    x = 10,408.74

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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.