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Finding the Fourth Proportional to 6,532.95, 9,799.14 and 1,602.36

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Solution

The fourth proportional to 6,532.95, 9,799.14 and 1,602.36 is: 2,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.95 : 9,799.14 = 1,602.36 : x
  2. Step 2: Convert to fraction form
    6,532.95/9,799.14 = 1,602.36/x
  3. Step 3: Cross multiply
    6,532.95x = 9,799.14 × 1,602.36
  4. Step 4: Simplify right side
    6,532.95x = 15,701,749.97
  5. Step 5: Solve for x
    x = 15,701,749.97/6,532.95
  6. Step 6: Final answer
    x = 2,403.47

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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.