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Finding the Fourth Proportional to 14,353.78, 19,795.08 and 9,506.50

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Solution

The fourth proportional to 14,353.78, 19,795.08 and 9,506.50 is: 13,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.78 : 19,795.08 = 9,506.50 : x
  2. Step 2: Convert to fraction form
    14,353.78/19,795.08 = 9,506.50/x
  3. Step 3: Cross multiply
    14,353.78x = 19,795.08 × 9,506.50
  4. Step 4: Simplify right side
    14,353.78x = 188,181,997.69
  5. Step 5: Solve for x
    x = 188,181,997.69/14,353.78
  6. Step 6: Final answer
    x = 13,110.27

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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.