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Finding the Fourth Proportional to 5,603.76, 7,732.08 and 4,767.84

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Solution

The fourth proportional to 5,603.76, 7,732.08 and 4,767.84 is: 6,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.76 : 7,732.08 = 4,767.84 : x
  2. Step 2: Convert to fraction form
    5,603.76/7,732.08 = 4,767.84/x
  3. Step 3: Cross multiply
    5,603.76x = 7,732.08 × 4,767.84
  4. Step 4: Simplify right side
    5,603.76x = 36,865,320.31
  5. Step 5: Solve for x
    x = 36,865,320.31/5,603.76
  6. Step 6: Final answer
    x = 6,578.68

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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.