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Finding the Fourth Proportional to 9,655.98, 14,455.80 and 5,947.08

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Solution

The fourth proportional to 9,655.98, 14,455.80 and 5,947.08 is: 8,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.98 : 14,455.80 = 5,947.08 : x
  2. Step 2: Convert to fraction form
    9,655.98/14,455.80 = 5,947.08/x
  3. Step 3: Cross multiply
    9,655.98x = 14,455.80 × 5,947.08
  4. Step 4: Simplify right side
    9,655.98x = 85,969,799.06
  5. Step 5: Solve for x
    x = 85,969,799.06/9,655.98
  6. Step 6: Final answer
    x = 8,903.27

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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.