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Finding the Fourth Proportional to 23,944, 35,913.24 and 9,152.58

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Solution

The fourth proportional to 23,944, 35,913.24 and 9,152.58 is: 13,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944 : 35,913.24 = 9,152.58 : x
  2. Step 2: Convert to fraction form
    23,944/35,913.24 = 9,152.58/x
  3. Step 3: Cross multiply
    23,944x = 35,913.24 × 9,152.58
  4. Step 4: Simplify right side
    23,944x = 328,698,802.16
  5. Step 5: Solve for x
    x = 328,698,802.16/23,944
  6. Step 6: Final answer
    x = 13,727.81

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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.