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Finding the Fourth Proportional to 7,047, 9,724.86 and 4,252.50

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Solution

The fourth proportional to 7,047, 9,724.86 and 4,252.50 is: 5,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 9,724.86 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    7,047/9,724.86 = 4,252.50/x
  3. Step 3: Cross multiply
    7,047x = 9,724.86 × 4,252.50
  4. Step 4: Simplify right side
    7,047x = 41,354,967.15
  5. Step 5: Solve for x
    x = 41,354,967.15/7,047
  6. Step 6: Final answer
    x = 5,868.45

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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.