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Finding the Fourth Proportional to 7,804.71, 11,705.34 and 2,256.84

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Solution

The fourth proportional to 7,804.71, 11,705.34 and 2,256.84 is: 3,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.71 : 11,705.34 = 2,256.84 : x
  2. Step 2: Convert to fraction form
    7,804.71/11,705.34 = 2,256.84/x
  3. Step 3: Cross multiply
    7,804.71x = 11,705.34 × 2,256.84
  4. Step 4: Simplify right side
    7,804.71x = 26,417,079.53
  5. Step 5: Solve for x
    x = 26,417,079.53/7,804.71
  6. Step 6: Final answer
    x = 3,384.76

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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.