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Finding the Fourth Proportional to 7,812.96, 10,781.84 and 4,276.10

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Solution

The fourth proportional to 7,812.96, 10,781.84 and 4,276.10 is: 5,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.96 : 10,781.84 = 4,276.10 : x
  2. Step 2: Convert to fraction form
    7,812.96/10,781.84 = 4,276.10/x
  3. Step 3: Cross multiply
    7,812.96x = 10,781.84 × 4,276.10
  4. Step 4: Simplify right side
    7,812.96x = 46,104,226.02
  5. Step 5: Solve for x
    x = 46,104,226.02/7,812.96
  6. Step 6: Final answer
    x = 5,900.99

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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.