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Finding the Fourth Proportional to 10,462.64, 15,696.69 and 6,075.88

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Solution

The fourth proportional to 10,462.64, 15,696.69 and 6,075.88 is: 9,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.64 : 15,696.69 = 6,075.88 : x
  2. Step 2: Convert to fraction form
    10,462.64/15,696.69 = 6,075.88/x
  3. Step 3: Cross multiply
    10,462.64x = 15,696.69 × 6,075.88
  4. Step 4: Simplify right side
    10,462.64x = 95,371,142.81
  5. Step 5: Solve for x
    x = 95,371,142.81/10,462.64
  6. Step 6: Final answer
    x = 9,115.40

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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.