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Finding the Fourth Proportional to 7,877.61, 10,870.67 and 4,340.54

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Solution

The fourth proportional to 7,877.61, 10,870.67 and 4,340.54 is: 5,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.61 : 10,870.67 = 4,340.54 : x
  2. Step 2: Convert to fraction form
    7,877.61/10,870.67 = 4,340.54/x
  3. Step 3: Cross multiply
    7,877.61x = 10,870.67 × 4,340.54
  4. Step 4: Simplify right side
    7,877.61x = 47,184,615.99
  5. Step 5: Solve for x
    x = 47,184,615.99/7,877.61
  6. Step 6: Final answer
    x = 5,989.71

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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.