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Finding the Fourth Proportional to 12,416.50, 17,135.04 and 6,827.50

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Solution

The fourth proportional to 12,416.50, 17,135.04 and 6,827.50 is: 9,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.50 : 17,135.04 = 6,827.50 : x
  2. Step 2: Convert to fraction form
    12,416.50/17,135.04 = 6,827.50/x
  3. Step 3: Cross multiply
    12,416.50x = 17,135.04 × 6,827.50
  4. Step 4: Simplify right side
    12,416.50x = 116,989,485.60
  5. Step 5: Solve for x
    x = 116,989,485.60/12,416.50
  6. Step 6: Final answer
    x = 9,422.10

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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.