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Finding the Fourth Proportional to 12,748.72, 17,592.95 and 7,083.14

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Solution

The fourth proportional to 12,748.72, 17,592.95 and 7,083.14 is: 9,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748.72 : 17,592.95 = 7,083.14 : x
  2. Step 2: Convert to fraction form
    12,748.72/17,592.95 = 7,083.14/x
  3. Step 3: Cross multiply
    12,748.72x = 17,592.95 × 7,083.14
  4. Step 4: Simplify right side
    12,748.72x = 124,613,204.48
  5. Step 5: Solve for x
    x = 124,613,204.48/12,748.72
  6. Step 6: Final answer
    x = 9,774.57

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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.