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Finding the Fourth Proportional to 8,492.52, 11,706.98 and 6,004.20

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Solution

The fourth proportional to 8,492.52, 11,706.98 and 6,004.20 is: 8,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.52 : 11,706.98 = 6,004.20 : x
  2. Step 2: Convert to fraction form
    8,492.52/11,706.98 = 6,004.20/x
  3. Step 3: Cross multiply
    8,492.52x = 11,706.98 × 6,004.20
  4. Step 4: Simplify right side
    8,492.52x = 70,291,049.32
  5. Step 5: Solve for x
    x = 70,291,049.32/8,492.52
  6. Step 6: Final answer
    x = 8,276.82

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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.