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Finding the Fourth Proportional to 8,295.91, 11,459.54 and 7,705.42

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Solution

The fourth proportional to 8,295.91, 11,459.54 and 7,705.42 is: 10,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.91 : 11,459.54 = 7,705.42 : x
  2. Step 2: Convert to fraction form
    8,295.91/11,459.54 = 7,705.42/x
  3. Step 3: Cross multiply
    8,295.91x = 11,459.54 × 7,705.42
  4. Step 4: Simplify right side
    8,295.91x = 88,300,559.32
  5. Step 5: Solve for x
    x = 88,300,559.32/8,295.91
  6. Step 6: Final answer
    x = 10,643.87

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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.