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Finding the Fourth Proportional to 16,563.84, 24,845.76 and 4,877.16

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Solution

The fourth proportional to 16,563.84, 24,845.76 and 4,877.16 is: 7,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.84 : 24,845.76 = 4,877.16 : x
  2. Step 2: Convert to fraction form
    16,563.84/24,845.76 = 4,877.16/x
  3. Step 3: Cross multiply
    16,563.84x = 24,845.76 × 4,877.16
  4. Step 4: Simplify right side
    16,563.84x = 121,176,746.84
  5. Step 5: Solve for x
    x = 121,176,746.84/16,563.84
  6. Step 6: Final answer
    x = 7,315.74

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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.