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Finding the Fourth Proportional to 24,497.84, 36,746.68 and 6,967.92

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Solution

The fourth proportional to 24,497.84, 36,746.68 and 6,967.92 is: 10,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.84 : 36,746.68 = 6,967.92 : x
  2. Step 2: Convert to fraction form
    24,497.84/36,746.68 = 6,967.92/x
  3. Step 3: Cross multiply
    24,497.84x = 36,746.68 × 6,967.92
  4. Step 4: Simplify right side
    24,497.84x = 256,047,926.51
  5. Step 5: Solve for x
    x = 256,047,926.51/24,497.84
  6. Step 6: Final answer
    x = 10,451.86

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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.