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Finding the Fourth Proportional to 4,768.98, 7,153.50 and 1,306.26

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Solution

The fourth proportional to 4,768.98, 7,153.50 and 1,306.26 is: 1,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.98 : 7,153.50 = 1,306.26 : x
  2. Step 2: Convert to fraction form
    4,768.98/7,153.50 = 1,306.26/x
  3. Step 3: Cross multiply
    4,768.98x = 7,153.50 × 1,306.26
  4. Step 4: Simplify right side
    4,768.98x = 9,344,330.91
  5. Step 5: Solve for x
    x = 9,344,330.91/4,768.98
  6. Step 6: Final answer
    x = 1,959.40

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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.