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Finding the Fourth Proportional to 4,597.68, 6,892.72 and 2,134.28

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Solution

The fourth proportional to 4,597.68, 6,892.72 and 2,134.28 is: 3,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.68 : 6,892.72 = 2,134.28 : x
  2. Step 2: Convert to fraction form
    4,597.68/6,892.72 = 2,134.28/x
  3. Step 3: Cross multiply
    4,597.68x = 6,892.72 × 2,134.28
  4. Step 4: Simplify right side
    4,597.68x = 14,710,994.44
  5. Step 5: Solve for x
    x = 14,710,994.44/4,597.68
  6. Step 6: Final answer
    x = 3,199.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.