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Finding the Fourth Proportional to 9,775.40, 14,657.70 and 3,198.20

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Solution

The fourth proportional to 9,775.40, 14,657.70 and 3,198.20 is: 4,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.40 : 14,657.70 = 3,198.20 : x
  2. Step 2: Convert to fraction form
    9,775.40/14,657.70 = 3,198.20/x
  3. Step 3: Cross multiply
    9,775.40x = 14,657.70 × 3,198.20
  4. Step 4: Simplify right side
    9,775.40x = 46,878,256.14
  5. Step 5: Solve for x
    x = 46,878,256.14/9,775.40
  6. Step 6: Final answer
    x = 4,795.53

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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.