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Finding the Fourth Proportional to 12,530.13, 17,291.78 and 6,941.13

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Solution

The fourth proportional to 12,530.13, 17,291.78 and 6,941.13 is: 9,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.13 : 17,291.78 = 6,941.13 : x
  2. Step 2: Convert to fraction form
    12,530.13/17,291.78 = 6,941.13/x
  3. Step 3: Cross multiply
    12,530.13x = 17,291.78 × 6,941.13
  4. Step 4: Simplify right side
    12,530.13x = 120,024,492.91
  5. Step 5: Solve for x
    x = 120,024,492.91/12,530.13
  6. Step 6: Final answer
    x = 9,578.87

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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.