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Finding the Fourth Proportional to 9,048.57, 12,494.64 and 6,806.56

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Solution

The fourth proportional to 9,048.57, 12,494.64 and 6,806.56 is: 9,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.57 : 12,494.64 = 6,806.56 : x
  2. Step 2: Convert to fraction form
    9,048.57/12,494.64 = 6,806.56/x
  3. Step 3: Cross multiply
    9,048.57x = 12,494.64 × 6,806.56
  4. Step 4: Simplify right side
    9,048.57x = 85,045,482.81
  5. Step 5: Solve for x
    x = 85,045,482.81/9,048.57
  6. Step 6: Final answer
    x = 9,398.78

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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.