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Finding the Fourth Proportional to 5,603.76, 7,743 and 4,608.24

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Solution

The fourth proportional to 5,603.76, 7,743 and 4,608.24 is: 6,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.76 : 7,743 = 4,608.24 : x
  2. Step 2: Convert to fraction form
    5,603.76/7,743 = 4,608.24/x
  3. Step 3: Cross multiply
    5,603.76x = 7,743 × 4,608.24
  4. Step 4: Simplify right side
    5,603.76x = 35,681,602.32
  5. Step 5: Solve for x
    x = 35,681,602.32/5,603.76
  6. Step 6: Final answer
    x = 6,367.44

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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.