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Finding the Fourth Proportional to 9,702.40, 14,537.40 and 8,309.20

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Solution

The fourth proportional to 9,702.40, 14,537.40 and 8,309.20 is: 12,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.40 : 14,537.40 = 8,309.20 : x
  2. Step 2: Convert to fraction form
    9,702.40/14,537.40 = 8,309.20/x
  3. Step 3: Cross multiply
    9,702.40x = 14,537.40 × 8,309.20
  4. Step 4: Simplify right side
    9,702.40x = 120,794,164.08
  5. Step 5: Solve for x
    x = 120,794,164.08/9,702.40
  6. Step 6: Final answer
    x = 12,449.93

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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.