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Finding the Fourth Proportional to 10,461.24, 15,695.70 and 9,843

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Solution

The fourth proportional to 10,461.24, 15,695.70 and 9,843 is: 14,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.24 : 15,695.70 = 9,843 : x
  2. Step 2: Convert to fraction form
    10,461.24/15,695.70 = 9,843/x
  3. Step 3: Cross multiply
    10,461.24x = 15,695.70 × 9,843
  4. Step 4: Simplify right side
    10,461.24x = 154,492,775.10
  5. Step 5: Solve for x
    x = 154,492,775.10/10,461.24
  6. Step 6: Final answer
    x = 14,768.11

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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.