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Finding the Fourth Proportional to 7,314.72, 10,953.12 and 6,705.76

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Solution

The fourth proportional to 7,314.72, 10,953.12 and 6,705.76 is: 10,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.72 : 10,953.12 = 6,705.76 : x
  2. Step 2: Convert to fraction form
    7,314.72/10,953.12 = 6,705.76/x
  3. Step 3: Cross multiply
    7,314.72x = 10,953.12 × 6,705.76
  4. Step 4: Simplify right side
    7,314.72x = 73,448,993.97
  5. Step 5: Solve for x
    x = 73,448,993.97/7,314.72
  6. Step 6: Final answer
    x = 10,041.26

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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.