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Finding the Fourth Proportional to 9,794.65, 14,685.90 and 5,632.60

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Solution

The fourth proportional to 9,794.65, 14,685.90 and 5,632.60 is: 8,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.65 : 14,685.90 = 5,632.60 : x
  2. Step 2: Convert to fraction form
    9,794.65/14,685.90 = 5,632.60/x
  3. Step 3: Cross multiply
    9,794.65x = 14,685.90 × 5,632.60
  4. Step 4: Simplify right side
    9,794.65x = 82,719,800.34
  5. Step 5: Solve for x
    x = 82,719,800.34/9,794.65
  6. Step 6: Final answer
    x = 8,445.41

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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.