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Finding the Fourth Proportional to 21,574.47, 32,361.84 and 7,534.44

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Solution

The fourth proportional to 21,574.47, 32,361.84 and 7,534.44 is: 11,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.47 : 32,361.84 = 7,534.44 : x
  2. Step 2: Convert to fraction form
    21,574.47/32,361.84 = 7,534.44/x
  3. Step 3: Cross multiply
    21,574.47x = 32,361.84 × 7,534.44
  4. Step 4: Simplify right side
    21,574.47x = 243,828,341.77
  5. Step 5: Solve for x
    x = 243,828,341.77/21,574.47
  6. Step 6: Final answer
    x = 11,301.71

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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.