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Finding the Fourth Proportional to 7,235.84, 10,854.16 and 2,042.16

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Solution

The fourth proportional to 7,235.84, 10,854.16 and 2,042.16 is: 3,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.84 : 10,854.16 = 2,042.16 : x
  2. Step 2: Convert to fraction form
    7,235.84/10,854.16 = 2,042.16/x
  3. Step 3: Cross multiply
    7,235.84x = 10,854.16 × 2,042.16
  4. Step 4: Simplify right side
    7,235.84x = 22,165,931.39
  5. Step 5: Solve for x
    x = 22,165,931.39/7,235.84
  6. Step 6: Final answer
    x = 3,063.35

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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.