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Finding the Fourth Proportional to 9,881.52, 14,813.96 and 4,613.77

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Solution

The fourth proportional to 9,881.52, 14,813.96 and 4,613.77 is: 6,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.52 : 14,813.96 = 4,613.77 : x
  2. Step 2: Convert to fraction form
    9,881.52/14,813.96 = 4,613.77/x
  3. Step 3: Cross multiply
    9,881.52x = 14,813.96 × 4,613.77
  4. Step 4: Simplify right side
    9,881.52x = 68,348,259.44
  5. Step 5: Solve for x
    x = 68,348,259.44/9,881.52
  6. Step 6: Final answer
    x = 6,916.78

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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.