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Finding the Fourth Proportional to 8,261.93, 12,400.49 and 7,095.53

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Solution

The fourth proportional to 8,261.93, 12,400.49 and 7,095.53 is: 10,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.93 : 12,400.49 = 7,095.53 : x
  2. Step 2: Convert to fraction form
    8,261.93/12,400.49 = 7,095.53/x
  3. Step 3: Cross multiply
    8,261.93x = 12,400.49 × 7,095.53
  4. Step 4: Simplify right side
    8,261.93x = 87,988,048.81
  5. Step 5: Solve for x
    x = 87,988,048.81/8,261.93
  6. Step 6: Final answer
    x = 10,649.82

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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.