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Finding the Fourth Proportional to 7,046.48, 9,724.16 and 3,816.34

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Solution

The fourth proportional to 7,046.48, 9,724.16 and 3,816.34 is: 5,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.48 : 9,724.16 = 3,816.34 : x
  2. Step 2: Convert to fraction form
    7,046.48/9,724.16 = 3,816.34/x
  3. Step 3: Cross multiply
    7,046.48x = 9,724.16 × 3,816.34
  4. Step 4: Simplify right side
    7,046.48x = 37,110,700.77
  5. Step 5: Solve for x
    x = 37,110,700.77/7,046.48
  6. Step 6: Final answer
    x = 5,266.56

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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.