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Finding the Fourth Proportional to 11,774.67, 16,248.99 and 6,397.08

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Solution

The fourth proportional to 11,774.67, 16,248.99 and 6,397.08 is: 8,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.67 : 16,248.99 = 6,397.08 : x
  2. Step 2: Convert to fraction form
    11,774.67/16,248.99 = 6,397.08/x
  3. Step 3: Cross multiply
    11,774.67x = 16,248.99 × 6,397.08
  4. Step 4: Simplify right side
    11,774.67x = 103,946,088.95
  5. Step 5: Solve for x
    x = 103,946,088.95/11,774.67
  6. Step 6: Final answer
    x = 8,827.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.