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Finding the Fourth Proportional to 7,824.60, 10,804.86 and 7,451.16

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Solution

The fourth proportional to 7,824.60, 10,804.86 and 7,451.16 is: 10,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.60 : 10,804.86 = 7,451.16 : x
  2. Step 2: Convert to fraction form
    7,824.60/10,804.86 = 7,451.16/x
  3. Step 3: Cross multiply
    7,824.60x = 10,804.86 × 7,451.16
  4. Step 4: Simplify right side
    7,824.60x = 80,508,740.64
  5. Step 5: Solve for x
    x = 80,508,740.64/7,824.60
  6. Step 6: Final answer
    x = 10,289.18

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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.