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Finding the Fourth Proportional to 7,154.92, 10,738.86 and 4,809.16

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Solution

The fourth proportional to 7,154.92, 10,738.86 and 4,809.16 is: 7,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.92 : 10,738.86 = 4,809.16 : x
  2. Step 2: Convert to fraction form
    7,154.92/10,738.86 = 4,809.16/x
  3. Step 3: Cross multiply
    7,154.92x = 10,738.86 × 4,809.16
  4. Step 4: Simplify right side
    7,154.92x = 51,644,895.96
  5. Step 5: Solve for x
    x = 51,644,895.96/7,154.92
  6. Step 6: Final answer
    x = 7,218.10

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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.