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Finding the Fourth Proportional to 24,347.54, 36,521.41 and 7,707.65

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Solution

The fourth proportional to 24,347.54, 36,521.41 and 7,707.65 is: 11,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,347.54 : 36,521.41 = 7,707.65 : x
  2. Step 2: Convert to fraction form
    24,347.54/36,521.41 = 7,707.65/x
  3. Step 3: Cross multiply
    24,347.54x = 36,521.41 × 7,707.65
  4. Step 4: Simplify right side
    24,347.54x = 281,494,135.21
  5. Step 5: Solve for x
    x = 281,494,135.21/24,347.54
  6. Step 6: Final answer
    x = 11,561.50

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Half scale
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Double scale
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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.