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Finding the Fourth Proportional to 7,894.14, 10,893.06 and 4,536.18

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Solution

The fourth proportional to 7,894.14, 10,893.06 and 4,536.18 is: 6,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.14 : 10,893.06 = 4,536.18 : x
  2. Step 2: Convert to fraction form
    7,894.14/10,893.06 = 4,536.18/x
  3. Step 3: Cross multiply
    7,894.14x = 10,893.06 × 4,536.18
  4. Step 4: Simplify right side
    7,894.14x = 49,412,880.91
  5. Step 5: Solve for x
    x = 49,412,880.91/7,894.14
  6. Step 6: Final answer
    x = 6,259.44

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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.