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Finding the Fourth Proportional to 8,473.45, 12,705.84 and 4,964.58

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Solution

The fourth proportional to 8,473.45, 12,705.84 and 4,964.58 is: 7,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.45 : 12,705.84 = 4,964.58 : x
  2. Step 2: Convert to fraction form
    8,473.45/12,705.84 = 4,964.58/x
  3. Step 3: Cross multiply
    8,473.45x = 12,705.84 × 4,964.58
  4. Step 4: Simplify right side
    8,473.45x = 63,079,159.15
  5. Step 5: Solve for x
    x = 63,079,159.15/8,473.45
  6. Step 6: Final answer
    x = 7,444.33

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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.