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Finding the Fourth Proportional to 7,461.51, 11,164.92 and 7,060.96

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Solution

The fourth proportional to 7,461.51, 11,164.92 and 7,060.96 is: 10,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.51 : 11,164.92 = 7,060.96 : x
  2. Step 2: Convert to fraction form
    7,461.51/11,164.92 = 7,060.96/x
  3. Step 3: Cross multiply
    7,461.51x = 11,164.92 × 7,060.96
  4. Step 4: Simplify right side
    7,461.51x = 78,835,053.52
  5. Step 5: Solve for x
    x = 78,835,053.52/7,461.51
  6. Step 6: Final answer
    x = 10,565.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.