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Finding the Fourth Proportional to 7,052.91, 9,734.01 and 4,068.12

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Solution

The fourth proportional to 7,052.91, 9,734.01 and 4,068.12 is: 5,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.91 : 9,734.01 = 4,068.12 : x
  2. Step 2: Convert to fraction form
    7,052.91/9,734.01 = 4,068.12/x
  3. Step 3: Cross multiply
    7,052.91x = 9,734.01 × 4,068.12
  4. Step 4: Simplify right side
    7,052.91x = 39,599,120.76
  5. Step 5: Solve for x
    x = 39,599,120.76/7,052.91
  6. Step 6: Final answer
    x = 5,614.58

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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.