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Finding the Fourth Proportional to 9,702.92, 14,554.46 and 6,000.68

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Solution

The fourth proportional to 9,702.92, 14,554.46 and 6,000.68 is: 9,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.92 : 14,554.46 = 6,000.68 : x
  2. Step 2: Convert to fraction form
    9,702.92/14,554.46 = 6,000.68/x
  3. Step 3: Cross multiply
    9,702.92x = 14,554.46 × 6,000.68
  4. Step 4: Simplify right side
    9,702.92x = 87,336,657.03
  5. Step 5: Solve for x
    x = 87,336,657.03/9,702.92
  6. Step 6: Final answer
    x = 9,001.07

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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.