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Finding the Fourth Proportional to 7,881.64, 10,877.22 and 4,525

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Solution

The fourth proportional to 7,881.64, 10,877.22 and 4,525 is: 6,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.64 : 10,877.22 = 4,525 : x
  2. Step 2: Convert to fraction form
    7,881.64/10,877.22 = 4,525/x
  3. Step 3: Cross multiply
    7,881.64x = 10,877.22 × 4,525
  4. Step 4: Simplify right side
    7,881.64x = 49,219,420.50
  5. Step 5: Solve for x
    x = 49,219,420.50/7,881.64
  6. Step 6: Final answer
    x = 6,244.82

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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.