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Finding the Fourth Proportional to 7,826.51, 10,801.09 and 4,801.97

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Solution

The fourth proportional to 7,826.51, 10,801.09 and 4,801.97 is: 6,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.51 : 10,801.09 = 4,801.97 : x
  2. Step 2: Convert to fraction form
    7,826.51/10,801.09 = 4,801.97/x
  3. Step 3: Cross multiply
    7,826.51x = 10,801.09 × 4,801.97
  4. Step 4: Simplify right side
    7,826.51x = 51,866,510.15
  5. Step 5: Solve for x
    x = 51,866,510.15/7,826.51
  6. Step 6: Final answer
    x = 6,627.03

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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.