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Finding the Fourth Proportional to 9,702.70, 14,532.45 and 8,406.70

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Solution

The fourth proportional to 9,702.70, 14,532.45 and 8,406.70 is: 12,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.70 : 14,532.45 = 8,406.70 : x
  2. Step 2: Convert to fraction form
    9,702.70/14,532.45 = 8,406.70/x
  3. Step 3: Cross multiply
    9,702.70x = 14,532.45 × 8,406.70
  4. Step 4: Simplify right side
    9,702.70x = 122,169,947.42
  5. Step 5: Solve for x
    x = 122,169,947.42/9,702.70
  6. Step 6: Final answer
    x = 12,591.34

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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.