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Finding the Fourth Proportional to 9,598.80, 14,375.16 and 6,511.44

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Solution

The fourth proportional to 9,598.80, 14,375.16 and 6,511.44 is: 9,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.80 : 14,375.16 = 6,511.44 : x
  2. Step 2: Convert to fraction form
    9,598.80/14,375.16 = 6,511.44/x
  3. Step 3: Cross multiply
    9,598.80x = 14,375.16 × 6,511.44
  4. Step 4: Simplify right side
    9,598.80x = 93,602,991.83
  5. Step 5: Solve for x
    x = 93,602,991.83/9,598.80
  6. Step 6: Final answer
    x = 9,751.53

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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.