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Finding the Fourth Proportional to 6,592.40, 9,869.40 and 6,400.40

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Solution

The fourth proportional to 6,592.40, 9,869.40 and 6,400.40 is: 9,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.40 : 9,869.40 = 6,400.40 : x
  2. Step 2: Convert to fraction form
    6,592.40/9,869.40 = 6,400.40/x
  3. Step 3: Cross multiply
    6,592.40x = 9,869.40 × 6,400.40
  4. Step 4: Simplify right side
    6,592.40x = 63,168,107.76
  5. Step 5: Solve for x
    x = 63,168,107.76/6,592.40
  6. Step 6: Final answer
    x = 9,581.96

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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.