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Finding the Fourth Proportional to 7,046.81, 9,724.58 and 4,062.63

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Solution

The fourth proportional to 7,046.81, 9,724.58 and 4,062.63 is: 5,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.81 : 9,724.58 = 4,062.63 : x
  2. Step 2: Convert to fraction form
    7,046.81/9,724.58 = 4,062.63/x
  3. Step 3: Cross multiply
    7,046.81x = 9,724.58 × 4,062.63
  4. Step 4: Simplify right side
    7,046.81x = 39,507,350.13
  5. Step 5: Solve for x
    x = 39,507,350.13/7,046.81
  6. Step 6: Final answer
    x = 5,606.42

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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.