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Finding the Fourth Proportional to 12,548.66, 18,822.96 and 6,926.06

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Solution

The fourth proportional to 12,548.66, 18,822.96 and 6,926.06 is: 10,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.66 : 18,822.96 = 6,926.06 : x
  2. Step 2: Convert to fraction form
    12,548.66/18,822.96 = 6,926.06/x
  3. Step 3: Cross multiply
    12,548.66x = 18,822.96 × 6,926.06
  4. Step 4: Simplify right side
    12,548.66x = 130,368,950.34
  5. Step 5: Solve for x
    x = 130,368,950.34/12,548.66
  6. Step 6: Final answer
    x = 10,389.07

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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.