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Finding the Fourth Proportional to 6,597.98, 9,898.05 and 3,134.06

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Solution

The fourth proportional to 6,597.98, 9,898.05 and 3,134.06 is: 4,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.98 : 9,898.05 = 3,134.06 : x
  2. Step 2: Convert to fraction form
    6,597.98/9,898.05 = 3,134.06/x
  3. Step 3: Cross multiply
    6,597.98x = 9,898.05 × 3,134.06
  4. Step 4: Simplify right side
    6,597.98x = 31,021,082.58
  5. Step 5: Solve for x
    x = 31,021,082.58/6,597.98
  6. Step 6: Final answer
    x = 4,701.60

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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.