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Finding the Fourth Proportional to 7,677, 10,592.28 and 4,533.30

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Solution

The fourth proportional to 7,677, 10,592.28 and 4,533.30 is: 6,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 10,592.28 = 4,533.30 : x
  2. Step 2: Convert to fraction form
    7,677/10,592.28 = 4,533.30/x
  3. Step 3: Cross multiply
    7,677x = 10,592.28 × 4,533.30
  4. Step 4: Simplify right side
    7,677x = 48,017,982.92
  5. Step 5: Solve for x
    x = 48,017,982.92/7,677
  6. Step 6: Final answer
    x = 6,254.78

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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.