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Finding the Fourth Proportional to 9,659.52, 14,482.44 and 4,977.51

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Solution

The fourth proportional to 9,659.52, 14,482.44 and 4,977.51 is: 7,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.52 : 14,482.44 = 4,977.51 : x
  2. Step 2: Convert to fraction form
    9,659.52/14,482.44 = 4,977.51/x
  3. Step 3: Cross multiply
    9,659.52x = 14,482.44 × 4,977.51
  4. Step 4: Simplify right side
    9,659.52x = 72,086,489.92
  5. Step 5: Solve for x
    x = 72,086,489.92/9,659.52
  6. Step 6: Final answer
    x = 7,462.74

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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.