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Finding the Fourth Proportional to 7,048.72, 10,574.10 and 2,117.72

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Solution

The fourth proportional to 7,048.72, 10,574.10 and 2,117.72 is: 3,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.72 : 10,574.10 = 2,117.72 : x
  2. Step 2: Convert to fraction form
    7,048.72/10,574.10 = 2,117.72/x
  3. Step 3: Cross multiply
    7,048.72x = 10,574.10 × 2,117.72
  4. Step 4: Simplify right side
    7,048.72x = 22,392,983.05
  5. Step 5: Solve for x
    x = 22,392,983.05/7,048.72
  6. Step 6: Final answer
    x = 3,176.89

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1.5x scale

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.