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Finding the Fourth Proportional to 6,492.32, 9,730 and 3,021.92

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Solution

The fourth proportional to 6,492.32, 9,730 and 3,021.92 is: 4,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.32 : 9,730 = 3,021.92 : x
  2. Step 2: Convert to fraction form
    6,492.32/9,730 = 3,021.92/x
  3. Step 3: Cross multiply
    6,492.32x = 9,730 × 3,021.92
  4. Step 4: Simplify right side
    6,492.32x = 29,403,281.60
  5. Step 5: Solve for x
    x = 29,403,281.60/6,492.32
  6. Step 6: Final answer
    x = 4,528.93

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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.