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Finding the Fourth Proportional to 24,608.52, 36,894.88 and 9,813

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Solution

The fourth proportional to 24,608.52, 36,894.88 and 9,813 is: 14,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.52 : 36,894.88 = 9,813 : x
  2. Step 2: Convert to fraction form
    24,608.52/36,894.88 = 9,813/x
  3. Step 3: Cross multiply
    24,608.52x = 36,894.88 × 9,813
  4. Step 4: Simplify right side
    24,608.52x = 362,049,457.44
  5. Step 5: Solve for x
    x = 362,049,457.44/24,608.52
  6. Step 6: Final answer
    x = 14,712.36

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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.