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Finding the Fourth Proportional to 7,497.78, 11,253.52 and 3,802.56

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Solution

The fourth proportional to 7,497.78, 11,253.52 and 3,802.56 is: 5,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.78 : 11,253.52 = 3,802.56 : x
  2. Step 2: Convert to fraction form
    7,497.78/11,253.52 = 3,802.56/x
  3. Step 3: Cross multiply
    7,497.78x = 11,253.52 × 3,802.56
  4. Step 4: Simplify right side
    7,497.78x = 42,792,185.01
  5. Step 5: Solve for x
    x = 42,792,185.01/7,497.78
  6. Step 6: Final answer
    x = 5,707.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.