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Finding the Fourth Proportional to 9,702.40, 14,571.20 and 8,492.80

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Solution

The fourth proportional to 9,702.40, 14,571.20 and 8,492.80 is: 12,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.40 : 14,571.20 = 8,492.80 : x
  2. Step 2: Convert to fraction form
    9,702.40/14,571.20 = 8,492.80/x
  3. Step 3: Cross multiply
    9,702.40x = 14,571.20 × 8,492.80
  4. Step 4: Simplify right side
    9,702.40x = 123,750,287.36
  5. Step 5: Solve for x
    x = 123,750,287.36/9,702.40
  6. Step 6: Final answer
    x = 12,754.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.