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Finding the Fourth Proportional to 8,482.23, 12,712.34 and 7,304.32

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Solution

The fourth proportional to 8,482.23, 12,712.34 and 7,304.32 is: 10,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.23 : 12,712.34 = 7,304.32 : x
  2. Step 2: Convert to fraction form
    8,482.23/12,712.34 = 7,304.32/x
  3. Step 3: Cross multiply
    8,482.23x = 12,712.34 × 7,304.32
  4. Step 4: Simplify right side
    8,482.23x = 92,854,999.31
  5. Step 5: Solve for x
    x = 92,854,999.31/8,482.23
  6. Step 6: Final answer
    x = 10,947.01

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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.