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Finding the Fourth Proportional to 15,695.75, 21,662.06 and 9,071.75

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Solution

The fourth proportional to 15,695.75, 21,662.06 and 9,071.75 is: 12,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.75 : 21,662.06 = 9,071.75 : x
  2. Step 2: Convert to fraction form
    15,695.75/21,662.06 = 9,071.75/x
  3. Step 3: Cross multiply
    15,695.75x = 21,662.06 × 9,071.75
  4. Step 4: Simplify right side
    15,695.75x = 196,512,792.81
  5. Step 5: Solve for x
    x = 196,512,792.81/15,695.75
  6. Step 6: Final answer
    x = 12,520.13

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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.