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Finding the Fourth Proportional to 7,894.16, 10,894.01 and 4,309.15

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Solution

The fourth proportional to 7,894.16, 10,894.01 and 4,309.15 is: 5,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.16 : 10,894.01 = 4,309.15 : x
  2. Step 2: Convert to fraction form
    7,894.16/10,894.01 = 4,309.15/x
  3. Step 3: Cross multiply
    7,894.16x = 10,894.01 × 4,309.15
  4. Step 4: Simplify right side
    7,894.16x = 46,943,923.19
  5. Step 5: Solve for x
    x = 46,943,923.19/7,894.16
  6. Step 6: Final answer
    x = 5,946.66

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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.