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Finding the Fourth Proportional to 7,767.84, 10,723.23 and 4,580.13

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Solution

The fourth proportional to 7,767.84, 10,723.23 and 4,580.13 is: 6,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.84 : 10,723.23 = 4,580.13 : x
  2. Step 2: Convert to fraction form
    7,767.84/10,723.23 = 4,580.13/x
  3. Step 3: Cross multiply
    7,767.84x = 10,723.23 × 4,580.13
  4. Step 4: Simplify right side
    7,767.84x = 49,113,787.42
  5. Step 5: Solve for x
    x = 49,113,787.42/7,767.84
  6. Step 6: Final answer
    x = 6,322.71

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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.