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Finding the Fourth Proportional to 8,570.94, 11,827.80 and 5,034.48

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Solution

The fourth proportional to 8,570.94, 11,827.80 and 5,034.48 is: 6,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.94 : 11,827.80 = 5,034.48 : x
  2. Step 2: Convert to fraction form
    8,570.94/11,827.80 = 5,034.48/x
  3. Step 3: Cross multiply
    8,570.94x = 11,827.80 × 5,034.48
  4. Step 4: Simplify right side
    8,570.94x = 59,546,822.54
  5. Step 5: Solve for x
    x = 59,546,822.54/8,570.94
  6. Step 6: Final answer
    x = 6,947.53

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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.