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Finding the Fourth Proportional to 7,876.51, 10,869.80 and 4,852.64

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Solution

The fourth proportional to 7,876.51, 10,869.80 and 4,852.64 is: 6,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.51 : 10,869.80 = 4,852.64 : x
  2. Step 2: Convert to fraction form
    7,876.51/10,869.80 = 4,852.64/x
  3. Step 3: Cross multiply
    7,876.51x = 10,869.80 × 4,852.64
  4. Step 4: Simplify right side
    7,876.51x = 52,747,229.18
  5. Step 5: Solve for x
    x = 52,747,229.18/7,876.51
  6. Step 6: Final answer
    x = 6,696.78

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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.