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Finding the Fourth Proportional to 9,193.98, 12,655.65 and 8,013

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Solution

The fourth proportional to 9,193.98, 12,655.65 and 8,013 is: 11,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.98 : 12,655.65 = 8,013 : x
  2. Step 2: Convert to fraction form
    9,193.98/12,655.65 = 8,013/x
  3. Step 3: Cross multiply
    9,193.98x = 12,655.65 × 8,013
  4. Step 4: Simplify right side
    9,193.98x = 101,409,723.45
  5. Step 5: Solve for x
    x = 101,409,723.45/9,193.98
  6. Step 6: Final answer
    x = 11,030.01

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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.