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Finding the Fourth Proportional to 6,492.58, 9,732.70 and 2,106.97

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Solution

The fourth proportional to 6,492.58, 9,732.70 and 2,106.97 is: 3,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.58 : 9,732.70 = 2,106.97 : x
  2. Step 2: Convert to fraction form
    6,492.58/9,732.70 = 2,106.97/x
  3. Step 3: Cross multiply
    6,492.58x = 9,732.70 × 2,106.97
  4. Step 4: Simplify right side
    6,492.58x = 20,506,452.99
  5. Step 5: Solve for x
    x = 20,506,452.99/6,492.58
  6. Step 6: Final answer
    x = 3,158.45

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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.