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Finding the Fourth Proportional to 15,574.76, 23,364.78 and 6,809.48

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Solution

The fourth proportional to 15,574.76, 23,364.78 and 6,809.48 is: 10,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.76 : 23,364.78 = 6,809.48 : x
  2. Step 2: Convert to fraction form
    15,574.76/23,364.78 = 6,809.48/x
  3. Step 3: Cross multiply
    15,574.76x = 23,364.78 × 6,809.48
  4. Step 4: Simplify right side
    15,574.76x = 159,102,002.11
  5. Step 5: Solve for x
    x = 159,102,002.11/15,574.76
  6. Step 6: Final answer
    x = 10,215.37

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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.