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Finding the Fourth Proportional to 12,342.48, 17,029.88 and 7,307

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Solution

The fourth proportional to 12,342.48, 17,029.88 and 7,307 is: 10,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.48 : 17,029.88 = 7,307 : x
  2. Step 2: Convert to fraction form
    12,342.48/17,029.88 = 7,307/x
  3. Step 3: Cross multiply
    12,342.48x = 17,029.88 × 7,307
  4. Step 4: Simplify right side
    12,342.48x = 124,437,333.16
  5. Step 5: Solve for x
    x = 124,437,333.16/12,342.48
  6. Step 6: Final answer
    x = 10,082.04

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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.