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Finding the Fourth Proportional to 7,877.80, 10,871.43 and 4,341.02

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Solution

The fourth proportional to 7,877.80, 10,871.43 and 4,341.02 is: 5,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.80 : 10,871.43 = 4,341.02 : x
  2. Step 2: Convert to fraction form
    7,877.80/10,871.43 = 4,341.02/x
  3. Step 3: Cross multiply
    7,877.80x = 10,871.43 × 4,341.02
  4. Step 4: Simplify right side
    7,877.80x = 47,193,095.06
  5. Step 5: Solve for x
    x = 47,193,095.06/7,877.80
  6. Step 6: Final answer
    x = 5,990.64

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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.