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Finding the Fourth Proportional to 6,695.30, 9,240.06 and 3,712.07

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Solution

The fourth proportional to 6,695.30, 9,240.06 and 3,712.07 is: 5,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.30 : 9,240.06 = 3,712.07 : x
  2. Step 2: Convert to fraction form
    6,695.30/9,240.06 = 3,712.07/x
  3. Step 3: Cross multiply
    6,695.30x = 9,240.06 × 3,712.07
  4. Step 4: Simplify right side
    6,695.30x = 34,299,703.32
  5. Step 5: Solve for x
    x = 34,299,703.32/6,695.30
  6. Step 6: Final answer
    x = 5,122.96

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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.