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Finding the Fourth Proportional to 6,492.16, 9,733.80 and 2,332.08

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Solution

The fourth proportional to 6,492.16, 9,733.80 and 2,332.08 is: 3,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.16 : 9,733.80 = 2,332.08 : x
  2. Step 2: Convert to fraction form
    6,492.16/9,733.80 = 2,332.08/x
  3. Step 3: Cross multiply
    6,492.16x = 9,733.80 × 2,332.08
  4. Step 4: Simplify right side
    6,492.16x = 22,700,000.30
  5. Step 5: Solve for x
    x = 22,700,000.30/6,492.16
  6. Step 6: Final answer
    x = 3,496.53

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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.