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Finding the Fourth Proportional to 7,038, 10,549.38 and 4,574.58

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Solution

The fourth proportional to 7,038, 10,549.38 and 4,574.58 is: 6,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038 : 10,549.38 = 4,574.58 : x
  2. Step 2: Convert to fraction form
    7,038/10,549.38 = 4,574.58/x
  3. Step 3: Cross multiply
    7,038x = 10,549.38 × 4,574.58
  4. Step 4: Simplify right side
    7,038x = 48,258,982.76
  5. Step 5: Solve for x
    x = 48,258,982.76/7,038
  6. Step 6: Final answer
    x = 6,856.92

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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.