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Finding the Fourth Proportional to 6,476.69, 9,715.68 and 2,580.19

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Solution

The fourth proportional to 6,476.69, 9,715.68 and 2,580.19 is: 3,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.69 : 9,715.68 = 2,580.19 : x
  2. Step 2: Convert to fraction form
    6,476.69/9,715.68 = 2,580.19/x
  3. Step 3: Cross multiply
    6,476.69x = 9,715.68 × 2,580.19
  4. Step 4: Simplify right side
    6,476.69x = 25,068,276.09
  5. Step 5: Solve for x
    x = 25,068,276.09/6,476.69
  6. Step 6: Final answer
    x = 3,870.54

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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.