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Finding the Fourth Proportional to 5,262.77, 7,894.46 and 1,975.59

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Solution

The fourth proportional to 5,262.77, 7,894.46 and 1,975.59 is: 2,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.77 : 7,894.46 = 1,975.59 : x
  2. Step 2: Convert to fraction form
    5,262.77/7,894.46 = 1,975.59/x
  3. Step 3: Cross multiply
    5,262.77x = 7,894.46 × 1,975.59
  4. Step 4: Simplify right side
    5,262.77x = 15,596,221.17
  5. Step 5: Solve for x
    x = 15,596,221.17/5,262.77
  6. Step 6: Final answer
    x = 2,963.50

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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.