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Finding the Fourth Proportional to 10,048, 15,075.16 and 4,506

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Solution

The fourth proportional to 10,048, 15,075.16 and 4,506 is: 6,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048 : 15,075.16 = 4,506 : x
  2. Step 2: Convert to fraction form
    10,048/15,075.16 = 4,506/x
  3. Step 3: Cross multiply
    10,048x = 15,075.16 × 4,506
  4. Step 4: Simplify right side
    10,048x = 67,928,670.96
  5. Step 5: Solve for x
    x = 67,928,670.96/10,048
  6. Step 6: Final answer
    x = 6,760.42

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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.