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Finding the Fourth Proportional to 9,769.32, 14,654.64 and 3,925.20

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Solution

The fourth proportional to 9,769.32, 14,654.64 and 3,925.20 is: 5,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.32 : 14,654.64 = 3,925.20 : x
  2. Step 2: Convert to fraction form
    9,769.32/14,654.64 = 3,925.20/x
  3. Step 3: Cross multiply
    9,769.32x = 14,654.64 × 3,925.20
  4. Step 4: Simplify right side
    9,769.32x = 57,522,392.93
  5. Step 5: Solve for x
    x = 57,522,392.93/9,769.32
  6. Step 6: Final answer
    x = 5,888.07

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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.