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Finding the Fourth Proportional to 7,534, 10,397.04 and 4,222

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Solution

The fourth proportional to 7,534, 10,397.04 and 4,222 is: 5,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534 : 10,397.04 = 4,222 : x
  2. Step 2: Convert to fraction form
    7,534/10,397.04 = 4,222/x
  3. Step 3: Cross multiply
    7,534x = 10,397.04 × 4,222
  4. Step 4: Simplify right side
    7,534x = 43,896,302.88
  5. Step 5: Solve for x
    x = 43,896,302.88/7,534
  6. Step 6: Final answer
    x = 5,826.43

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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.