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Finding the Fourth Proportional to 24,270.57, 36,405.86 and 7,632.06

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Solution

The fourth proportional to 24,270.57, 36,405.86 and 7,632.06 is: 11,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270.57 : 36,405.86 = 7,632.06 : x
  2. Step 2: Convert to fraction form
    24,270.57/36,405.86 = 7,632.06/x
  3. Step 3: Cross multiply
    24,270.57x = 36,405.86 × 7,632.06
  4. Step 4: Simplify right side
    24,270.57x = 277,851,533.19
  5. Step 5: Solve for x
    x = 277,851,533.19/24,270.57
  6. Step 6: Final answer
    x = 11,448.08

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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.