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Finding the Fourth Proportional to 21,574.74, 32,363.51 and 6,784.23

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Solution

The fourth proportional to 21,574.74, 32,363.51 and 6,784.23 is: 10,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.74 : 32,363.51 = 6,784.23 : x
  2. Step 2: Convert to fraction form
    21,574.74/32,363.51 = 6,784.23/x
  3. Step 3: Cross multiply
    21,574.74x = 32,363.51 × 6,784.23
  4. Step 4: Simplify right side
    21,574.74x = 219,561,495.45
  5. Step 5: Solve for x
    x = 219,561,495.45/21,574.74
  6. Step 6: Final answer
    x = 10,176.79

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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.