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Finding the Fourth Proportional to 12,492.86, 17,240.34 and 6,827.72

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Solution

The fourth proportional to 12,492.86, 17,240.34 and 6,827.72 is: 9,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.86 : 17,240.34 = 6,827.72 : x
  2. Step 2: Convert to fraction form
    12,492.86/17,240.34 = 6,827.72/x
  3. Step 3: Cross multiply
    12,492.86x = 17,240.34 × 6,827.72
  4. Step 4: Simplify right side
    12,492.86x = 117,712,214.22
  5. Step 5: Solve for x
    x = 117,712,214.22/12,492.86
  6. Step 6: Final answer
    x = 9,422.36

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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.