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Finding the Fourth Proportional to 7,162.74, 9,884.52 and 4,368.24

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Solution

The fourth proportional to 7,162.74, 9,884.52 and 4,368.24 is: 6,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.74 : 9,884.52 = 4,368.24 : x
  2. Step 2: Convert to fraction form
    7,162.74/9,884.52 = 4,368.24/x
  3. Step 3: Cross multiply
    7,162.74x = 9,884.52 × 4,368.24
  4. Step 4: Simplify right side
    7,162.74x = 43,177,955.64
  5. Step 5: Solve for x
    x = 43,177,955.64/7,162.74
  6. Step 6: Final answer
    x = 6,028.13

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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.