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Finding the Fourth Proportional to 9,630.98, 14,439.46 and 6,503.22

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Solution

The fourth proportional to 9,630.98, 14,439.46 and 6,503.22 is: 9,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.98 : 14,439.46 = 6,503.22 : x
  2. Step 2: Convert to fraction form
    9,630.98/14,439.46 = 6,503.22/x
  3. Step 3: Cross multiply
    9,630.98x = 14,439.46 × 6,503.22
  4. Step 4: Simplify right side
    9,630.98x = 93,902,985.06
  5. Step 5: Solve for x
    x = 93,902,985.06/9,630.98
  6. Step 6: Final answer
    x = 9,750.10

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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.