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Finding the Fourth Proportional to 9,470.58, 14,205.84 and 9,456.90

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Solution

The fourth proportional to 9,470.58, 14,205.84 and 9,456.90 is: 14,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.58 : 14,205.84 = 9,456.90 : x
  2. Step 2: Convert to fraction form
    9,470.58/14,205.84 = 9,456.90/x
  3. Step 3: Cross multiply
    9,470.58x = 14,205.84 × 9,456.90
  4. Step 4: Simplify right side
    9,470.58x = 134,343,208.30
  5. Step 5: Solve for x
    x = 134,343,208.30/9,470.58
  6. Step 6: Final answer
    x = 14,185.32

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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.