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Finding the Fourth Proportional to 9,470.20, 14,205.30 and 9,405.40

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Solution

The fourth proportional to 9,470.20, 14,205.30 and 9,405.40 is: 14,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.20 : 14,205.30 = 9,405.40 : x
  2. Step 2: Convert to fraction form
    9,470.20/14,205.30 = 9,405.40/x
  3. Step 3: Cross multiply
    9,470.20x = 14,205.30 × 9,405.40
  4. Step 4: Simplify right side
    9,470.20x = 133,606,528.62
  5. Step 5: Solve for x
    x = 133,606,528.62/9,470.20
  6. Step 6: Final answer
    x = 14,108.10

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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.