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Finding the Fourth Proportional to 7,821.84, 10,794.92 and 4,465.16

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Solution

The fourth proportional to 7,821.84, 10,794.92 and 4,465.16 is: 6,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.84 : 10,794.92 = 4,465.16 : x
  2. Step 2: Convert to fraction form
    7,821.84/10,794.92 = 4,465.16/x
  3. Step 3: Cross multiply
    7,821.84x = 10,794.92 × 4,465.16
  4. Step 4: Simplify right side
    7,821.84x = 48,201,009.17
  5. Step 5: Solve for x
    x = 48,201,009.17/7,821.84
  6. Step 6: Final answer
    x = 6,162.36

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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.