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Finding the Fourth Proportional to 6,334.88, 9,502.30 and 1,654.87

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Solution

The fourth proportional to 6,334.88, 9,502.30 and 1,654.87 is: 2,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.88 : 9,502.30 = 1,654.87 : x
  2. Step 2: Convert to fraction form
    6,334.88/9,502.30 = 1,654.87/x
  3. Step 3: Cross multiply
    6,334.88x = 9,502.30 × 1,654.87
  4. Step 4: Simplify right side
    6,334.88x = 15,725,071.20
  5. Step 5: Solve for x
    x = 15,725,071.20/6,334.88
  6. Step 6: Final answer
    x = 2,482.30

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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.