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Finding the Fourth Proportional to 15,871.93, 21,902.74 and 9,583.21

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Solution

The fourth proportional to 15,871.93, 21,902.74 and 9,583.21 is: 13,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.93 : 21,902.74 = 9,583.21 : x
  2. Step 2: Convert to fraction form
    15,871.93/21,902.74 = 9,583.21/x
  3. Step 3: Cross multiply
    15,871.93x = 21,902.74 × 9,583.21
  4. Step 4: Simplify right side
    15,871.93x = 209,898,557.00
  5. Step 5: Solve for x
    x = 209,898,557.00/15,871.93
  6. Step 6: Final answer
    x = 13,224.51

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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.