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Finding the Fourth Proportional to 7,633.52, 10,534.46 and 4,230.46

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Solution

The fourth proportional to 7,633.52, 10,534.46 and 4,230.46 is: 5,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.52 : 10,534.46 = 4,230.46 : x
  2. Step 2: Convert to fraction form
    7,633.52/10,534.46 = 4,230.46/x
  3. Step 3: Cross multiply
    7,633.52x = 10,534.46 × 4,230.46
  4. Step 4: Simplify right side
    7,633.52x = 44,565,603.67
  5. Step 5: Solve for x
    x = 44,565,603.67/7,633.52
  6. Step 6: Final answer
    x = 5,838.14

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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.