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Finding the Fourth Proportional to 14,807.56, 22,182.02 and 7,777.03

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Solution

The fourth proportional to 14,807.56, 22,182.02 and 7,777.03 is: 11,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.56 : 22,182.02 = 7,777.03 : x
  2. Step 2: Convert to fraction form
    14,807.56/22,182.02 = 7,777.03/x
  3. Step 3: Cross multiply
    14,807.56x = 22,182.02 × 7,777.03
  4. Step 4: Simplify right side
    14,807.56x = 172,510,124.09
  5. Step 5: Solve for x
    x = 172,510,124.09/14,807.56
  6. Step 6: Final answer
    x = 11,650.14

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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.