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Finding the Fourth Proportional to 7,203.42, 9,947.82 and 4,971.06

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Solution

The fourth proportional to 7,203.42, 9,947.82 and 4,971.06 is: 6,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.42 : 9,947.82 = 4,971.06 : x
  2. Step 2: Convert to fraction form
    7,203.42/9,947.82 = 4,971.06/x
  3. Step 3: Cross multiply
    7,203.42x = 9,947.82 × 4,971.06
  4. Step 4: Simplify right side
    7,203.42x = 49,451,210.09
  5. Step 5: Solve for x
    x = 49,451,210.09/7,203.42
  6. Step 6: Final answer
    x = 6,864.96

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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.