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Finding the Fourth Proportional to 9,256.61, 12,774.08 and 5,007.66

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Solution

The fourth proportional to 9,256.61, 12,774.08 and 5,007.66 is: 6,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.61 : 12,774.08 = 5,007.66 : x
  2. Step 2: Convert to fraction form
    9,256.61/12,774.08 = 5,007.66/x
  3. Step 3: Cross multiply
    9,256.61x = 12,774.08 × 5,007.66
  4. Step 4: Simplify right side
    9,256.61x = 63,968,224.41
  5. Step 5: Solve for x
    x = 63,968,224.41/9,256.61
  6. Step 6: Final answer
    x = 6,910.55

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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.