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Finding the Fourth Proportional to 7,824.40, 10,792.40 and 4,841.71

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Solution

The fourth proportional to 7,824.40, 10,792.40 and 4,841.71 is: 6,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.40 : 10,792.40 = 4,841.71 : x
  2. Step 2: Convert to fraction form
    7,824.40/10,792.40 = 4,841.71/x
  3. Step 3: Cross multiply
    7,824.40x = 10,792.40 × 4,841.71
  4. Step 4: Simplify right side
    7,824.40x = 52,253,619.81
  5. Step 5: Solve for x
    x = 52,253,619.81/7,824.40
  6. Step 6: Final answer
    x = 6,678.29

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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.