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Finding the Fourth Proportional to 4,697.98, 7,046.98 and 1,411.06

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Solution

The fourth proportional to 4,697.98, 7,046.98 and 1,411.06 is: 2,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.98 : 7,046.98 = 1,411.06 : x
  2. Step 2: Convert to fraction form
    4,697.98/7,046.98 = 1,411.06/x
  3. Step 3: Cross multiply
    4,697.98x = 7,046.98 × 1,411.06
  4. Step 4: Simplify right side
    4,697.98x = 9,943,711.60
  5. Step 5: Solve for x
    x = 9,943,711.60/4,697.98
  6. Step 6: Final answer
    x = 2,116.59

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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.