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Finding the Fourth Proportional to 24,471.84, 36,707.76 and 6,941.80

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Solution

The fourth proportional to 24,471.84, 36,707.76 and 6,941.80 is: 10,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.84 : 36,707.76 = 6,941.80 : x
  2. Step 2: Convert to fraction form
    24,471.84/36,707.76 = 6,941.80/x
  3. Step 3: Cross multiply
    24,471.84x = 36,707.76 × 6,941.80
  4. Step 4: Simplify right side
    24,471.84x = 254,817,928.37
  5. Step 5: Solve for x
    x = 254,817,928.37/24,471.84
  6. Step 6: Final answer
    x = 10,412.70

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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.