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Finding the Fourth Proportional to 15,706.98, 23,564.35 and 7,813.24

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Solution

The fourth proportional to 15,706.98, 23,564.35 and 7,813.24 is: 11,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.98 : 23,564.35 = 7,813.24 : x
  2. Step 2: Convert to fraction form
    15,706.98/23,564.35 = 7,813.24/x
  3. Step 3: Cross multiply
    15,706.98x = 23,564.35 × 7,813.24
  4. Step 4: Simplify right side
    15,706.98x = 184,113,882.93
  5. Step 5: Solve for x
    x = 184,113,882.93/15,706.98
  6. Step 6: Final answer
    x = 11,721.79

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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.