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Finding the Fourth Proportional to 7,966.32, 11,879.34 and 7,412.28

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Solution

The fourth proportional to 7,966.32, 11,879.34 and 7,412.28 is: 11,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.32 : 11,879.34 = 7,412.28 : x
  2. Step 2: Convert to fraction form
    7,966.32/11,879.34 = 7,412.28/x
  3. Step 3: Cross multiply
    7,966.32x = 11,879.34 × 7,412.28
  4. Step 4: Simplify right side
    7,966.32x = 88,052,994.30
  5. Step 5: Solve for x
    x = 88,052,994.30/7,966.32
  6. Step 6: Final answer
    x = 11,053.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.