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Finding the Fourth Proportional to 9,777.66, 14,668.56 and 3,204.30

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Solution

The fourth proportional to 9,777.66, 14,668.56 and 3,204.30 is: 4,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.66 : 14,668.56 = 3,204.30 : x
  2. Step 2: Convert to fraction form
    9,777.66/14,668.56 = 3,204.30/x
  3. Step 3: Cross multiply
    9,777.66x = 14,668.56 × 3,204.30
  4. Step 4: Simplify right side
    9,777.66x = 47,002,466.81
  5. Step 5: Solve for x
    x = 47,002,466.81/9,777.66
  6. Step 6: Final answer
    x = 4,807.13

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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.