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Finding the Fourth Proportional to 7,427.13, 10,250.06 and 6,097.11

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Solution

The fourth proportional to 7,427.13, 10,250.06 and 6,097.11 is: 8,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.13 : 10,250.06 = 6,097.11 : x
  2. Step 2: Convert to fraction form
    7,427.13/10,250.06 = 6,097.11/x
  3. Step 3: Cross multiply
    7,427.13x = 10,250.06 × 6,097.11
  4. Step 4: Simplify right side
    7,427.13x = 62,495,712.84
  5. Step 5: Solve for x
    x = 62,495,712.84/7,427.13
  6. Step 6: Final answer
    x = 8,414.52

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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.