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Finding the Fourth Proportional to 23,407, 35,113.47 and 8,626.23

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Solution

The fourth proportional to 23,407, 35,113.47 and 8,626.23 is: 12,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407 : 35,113.47 = 8,626.23 : x
  2. Step 2: Convert to fraction form
    23,407/35,113.47 = 8,626.23/x
  3. Step 3: Cross multiply
    23,407x = 35,113.47 × 8,626.23
  4. Step 4: Simplify right side
    23,407x = 302,896,868.32
  5. Step 5: Solve for x
    x = 302,896,868.32/23,407
  6. Step 6: Final answer
    x = 12,940.44

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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.