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Finding the Fourth Proportional to 15,741, 21,731.58 and 10,443.06

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Solution

The fourth proportional to 15,741, 21,731.58 and 10,443.06 is: 14,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741 : 21,731.58 = 10,443.06 : x
  2. Step 2: Convert to fraction form
    15,741/21,731.58 = 10,443.06/x
  3. Step 3: Cross multiply
    15,741x = 21,731.58 × 10,443.06
  4. Step 4: Simplify right side
    15,741x = 226,944,193.83
  5. Step 5: Solve for x
    x = 226,944,193.83/15,741
  6. Step 6: Final answer
    x = 14,417.39

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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.