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Finding the Fourth Proportional to 10,284, 15,446.70 and 6,132.12

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Solution

The fourth proportional to 10,284, 15,446.70 and 6,132.12 is: 9,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 15,446.70 = 6,132.12 : x
  2. Step 2: Convert to fraction form
    10,284/15,446.70 = 6,132.12/x
  3. Step 3: Cross multiply
    10,284x = 15,446.70 × 6,132.12
  4. Step 4: Simplify right side
    10,284x = 94,721,018.00
  5. Step 5: Solve for x
    x = 94,721,018.00/10,284
  6. Step 6: Final answer
    x = 9,210.52

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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.