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Finding the Fourth Proportional to 7,438, 10,266.04 and 4,454.50

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Solution

The fourth proportional to 7,438, 10,266.04 and 4,454.50 is: 6,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438 : 10,266.04 = 4,454.50 : x
  2. Step 2: Convert to fraction form
    7,438/10,266.04 = 4,454.50/x
  3. Step 3: Cross multiply
    7,438x = 10,266.04 × 4,454.50
  4. Step 4: Simplify right side
    7,438x = 45,730,075.18
  5. Step 5: Solve for x
    x = 45,730,075.18/7,438
  6. Step 6: Final answer
    x = 6,148.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.