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Finding the Fourth Proportional to 6,597.52, 9,897.40 and 3,309.84

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Solution

The fourth proportional to 6,597.52, 9,897.40 and 3,309.84 is: 4,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.52 : 9,897.40 = 3,309.84 : x
  2. Step 2: Convert to fraction form
    6,597.52/9,897.40 = 3,309.84/x
  3. Step 3: Cross multiply
    6,597.52x = 9,897.40 × 3,309.84
  4. Step 4: Simplify right side
    6,597.52x = 32,758,810.42
  5. Step 5: Solve for x
    x = 32,758,810.42/6,597.52
  6. Step 6: Final answer
    x = 4,965.32

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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.