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Finding the Fourth Proportional to 10,134.73, 13,985.73 and 5,659.54

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Solution

The fourth proportional to 10,134.73, 13,985.73 and 5,659.54 is: 7,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.73 : 13,985.73 = 5,659.54 : x
  2. Step 2: Convert to fraction form
    10,134.73/13,985.73 = 5,659.54/x
  3. Step 3: Cross multiply
    10,134.73x = 13,985.73 × 5,659.54
  4. Step 4: Simplify right side
    10,134.73x = 79,152,798.36
  5. Step 5: Solve for x
    x = 79,152,798.36/10,134.73
  6. Step 6: Final answer
    x = 7,810.05

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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.