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Finding the Fourth Proportional to 7,630.84, 10,535.62 and 5,859.24

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Solution

The fourth proportional to 7,630.84, 10,535.62 and 5,859.24 is: 8,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.84 : 10,535.62 = 5,859.24 : x
  2. Step 2: Convert to fraction form
    7,630.84/10,535.62 = 5,859.24/x
  3. Step 3: Cross multiply
    7,630.84x = 10,535.62 × 5,859.24
  4. Step 4: Simplify right side
    7,630.84x = 61,730,726.13
  5. Step 5: Solve for x
    x = 61,730,726.13/7,630.84
  6. Step 6: Final answer
    x = 8,089.64

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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.