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Finding the Fourth Proportional to 7,011.74, 9,675.10 and 4,027.16

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Solution

The fourth proportional to 7,011.74, 9,675.10 and 4,027.16 is: 5,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.74 : 9,675.10 = 4,027.16 : x
  2. Step 2: Convert to fraction form
    7,011.74/9,675.10 = 4,027.16/x
  3. Step 3: Cross multiply
    7,011.74x = 9,675.10 × 4,027.16
  4. Step 4: Simplify right side
    7,011.74x = 38,963,175.72
  5. Step 5: Solve for x
    x = 38,963,175.72/7,011.74
  6. Step 6: Final answer
    x = 5,556.85

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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.