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Finding the Fourth Proportional to 7,862.72, 10,860 and 6,827.72

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Solution

The fourth proportional to 7,862.72, 10,860 and 6,827.72 is: 9,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.72 : 10,860 = 6,827.72 : x
  2. Step 2: Convert to fraction form
    7,862.72/10,860 = 6,827.72/x
  3. Step 3: Cross multiply
    7,862.72x = 10,860 × 6,827.72
  4. Step 4: Simplify right side
    7,862.72x = 74,149,039.20
  5. Step 5: Solve for x
    x = 74,149,039.20/7,862.72
  6. Step 6: Final answer
    x = 9,430.46

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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.