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Finding the Fourth Proportional to 7,809.74, 11,715.21 and 2,263.16

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Solution

The fourth proportional to 7,809.74, 11,715.21 and 2,263.16 is: 3,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.74 : 11,715.21 = 2,263.16 : x
  2. Step 2: Convert to fraction form
    7,809.74/11,715.21 = 2,263.16/x
  3. Step 3: Cross multiply
    7,809.74x = 11,715.21 × 2,263.16
  4. Step 4: Simplify right side
    7,809.74x = 26,513,394.66
  5. Step 5: Solve for x
    x = 26,513,394.66/7,809.74
  6. Step 6: Final answer
    x = 3,394.91

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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.