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Finding the Fourth Proportional to 9,188.29, 12,686.99 and 7,060.47

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Solution

The fourth proportional to 9,188.29, 12,686.99 and 7,060.47 is: 9,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.29 : 12,686.99 = 7,060.47 : x
  2. Step 2: Convert to fraction form
    9,188.29/12,686.99 = 7,060.47/x
  3. Step 3: Cross multiply
    9,188.29x = 12,686.99 × 7,060.47
  4. Step 4: Simplify right side
    9,188.29x = 89,576,120.63
  5. Step 5: Solve for x
    x = 89,576,120.63/9,188.29
  6. Step 6: Final answer
    x = 9,748.94

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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.