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Finding the Fourth Proportional to 6,416.50, 8,862.06 and 4,316.98

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Solution

The fourth proportional to 6,416.50, 8,862.06 and 4,316.98 is: 5,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.50 : 8,862.06 = 4,316.98 : x
  2. Step 2: Convert to fraction form
    6,416.50/8,862.06 = 4,316.98/x
  3. Step 3: Cross multiply
    6,416.50x = 8,862.06 × 4,316.98
  4. Step 4: Simplify right side
    6,416.50x = 38,257,335.78
  5. Step 5: Solve for x
    x = 38,257,335.78/6,416.50
  6. Step 6: Final answer
    x = 5,962.34

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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.