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Finding the Fourth Proportional to 8,533.40, 12,809.70 and 6,594.20

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Solution

The fourth proportional to 8,533.40, 12,809.70 and 6,594.20 is: 9,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.40 : 12,809.70 = 6,594.20 : x
  2. Step 2: Convert to fraction form
    8,533.40/12,809.70 = 6,594.20/x
  3. Step 3: Cross multiply
    8,533.40x = 12,809.70 × 6,594.20
  4. Step 4: Simplify right side
    8,533.40x = 84,469,723.74
  5. Step 5: Solve for x
    x = 84,469,723.74/8,533.40
  6. Step 6: Final answer
    x = 9,898.72

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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.