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Finding the Fourth Proportional to 7,894.51, 10,895.61 and 4,911.30

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Solution

The fourth proportional to 7,894.51, 10,895.61 and 4,911.30 is: 6,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.51 : 10,895.61 = 4,911.30 : x
  2. Step 2: Convert to fraction form
    7,894.51/10,895.61 = 4,911.30/x
  3. Step 3: Cross multiply
    7,894.51x = 10,895.61 × 4,911.30
  4. Step 4: Simplify right side
    7,894.51x = 53,511,627.81
  5. Step 5: Solve for x
    x = 53,511,627.81/7,894.51
  6. Step 6: Final answer
    x = 6,778.33

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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.