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Finding the Fourth Proportional to 7,029.40, 9,701.10 and 4,046.20

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Solution

The fourth proportional to 7,029.40, 9,701.10 and 4,046.20 is: 5,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.40 : 9,701.10 = 4,046.20 : x
  2. Step 2: Convert to fraction form
    7,029.40/9,701.10 = 4,046.20/x
  3. Step 3: Cross multiply
    7,029.40x = 9,701.10 × 4,046.20
  4. Step 4: Simplify right side
    7,029.40x = 39,252,590.82
  5. Step 5: Solve for x
    x = 39,252,590.82/7,029.40
  6. Step 6: Final answer
    x = 5,584.06

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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.