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Finding the Fourth Proportional to 7,051.57, 9,732.18 and 4,066.81

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Solution

The fourth proportional to 7,051.57, 9,732.18 and 4,066.81 is: 5,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.57 : 9,732.18 = 4,066.81 : x
  2. Step 2: Convert to fraction form
    7,051.57/9,732.18 = 4,066.81/x
  3. Step 3: Cross multiply
    7,051.57x = 9,732.18 × 4,066.81
  4. Step 4: Simplify right side
    7,051.57x = 39,578,917.87
  5. Step 5: Solve for x
    x = 39,578,917.87/7,051.57
  6. Step 6: Final answer
    x = 5,612.78

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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.