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Finding the Fourth Proportional to 15,754.34, 21,741.47 and 9,041.19

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Solution

The fourth proportional to 15,754.34, 21,741.47 and 9,041.19 is: 12,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.34 : 21,741.47 = 9,041.19 : x
  2. Step 2: Convert to fraction form
    15,754.34/21,741.47 = 9,041.19/x
  3. Step 3: Cross multiply
    15,754.34x = 21,741.47 × 9,041.19
  4. Step 4: Simplify right side
    15,754.34x = 196,568,761.15
  5. Step 5: Solve for x
    x = 196,568,761.15/15,754.34
  6. Step 6: Final answer
    x = 12,477.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.