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Finding the Fourth Proportional to 13,775.68, 19,009.82 and 7,807.22

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Solution

The fourth proportional to 13,775.68, 19,009.82 and 7,807.22 is: 10,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.68 : 19,009.82 = 7,807.22 : x
  2. Step 2: Convert to fraction form
    13,775.68/19,009.82 = 7,807.22/x
  3. Step 3: Cross multiply
    13,775.68x = 19,009.82 × 7,807.22
  4. Step 4: Simplify right side
    13,775.68x = 148,413,846.90
  5. Step 5: Solve for x
    x = 148,413,846.90/13,775.68
  6. Step 6: Final answer
    x = 10,773.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.