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Finding the Fourth Proportional to 15,871.75, 23,802.10 and 6,509.11

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Solution

The fourth proportional to 15,871.75, 23,802.10 and 6,509.11 is: 9,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.75 : 23,802.10 = 6,509.11 : x
  2. Step 2: Convert to fraction form
    15,871.75/23,802.10 = 6,509.11/x
  3. Step 3: Cross multiply
    15,871.75x = 23,802.10 × 6,509.11
  4. Step 4: Simplify right side
    15,871.75x = 154,930,492.60
  5. Step 5: Solve for x
    x = 154,930,492.60/15,871.75
  6. Step 6: Final answer
    x = 9,761.40

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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.