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Finding the Fourth Proportional to 7,954.16, 10,976.22 and 4,417.11

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Solution

The fourth proportional to 7,954.16, 10,976.22 and 4,417.11 is: 6,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.16 : 10,976.22 = 4,417.11 : x
  2. Step 2: Convert to fraction form
    7,954.16/10,976.22 = 4,417.11/x
  3. Step 3: Cross multiply
    7,954.16x = 10,976.22 × 4,417.11
  4. Step 4: Simplify right side
    7,954.16x = 48,483,171.12
  5. Step 5: Solve for x
    x = 48,483,171.12/7,954.16
  6. Step 6: Final answer
    x = 6,095.33

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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.