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Finding the Fourth Proportional to 7,047.36, 9,724.56 and 4,563.36

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Solution

The fourth proportional to 7,047.36, 9,724.56 and 4,563.36 is: 6,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.36 : 9,724.56 = 4,563.36 : x
  2. Step 2: Convert to fraction form
    7,047.36/9,724.56 = 4,563.36/x
  3. Step 3: Cross multiply
    7,047.36x = 9,724.56 × 4,563.36
  4. Step 4: Simplify right side
    7,047.36x = 44,376,668.12
  5. Step 5: Solve for x
    x = 44,376,668.12/7,047.36
  6. Step 6: Final answer
    x = 6,296.92

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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.