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Finding the Fourth Proportional to 7,038.72, 9,712.80 and 4,348.71

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Solution

The fourth proportional to 7,038.72, 9,712.80 and 4,348.71 is: 6,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.72 : 9,712.80 = 4,348.71 : x
  2. Step 2: Convert to fraction form
    7,038.72/9,712.80 = 4,348.71/x
  3. Step 3: Cross multiply
    7,038.72x = 9,712.80 × 4,348.71
  4. Step 4: Simplify right side
    7,038.72x = 42,238,150.49
  5. Step 5: Solve for x
    x = 42,238,150.49/7,038.72
  6. Step 6: Final answer
    x = 6,000.83

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1.5x scale

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.