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Finding the Fourth Proportional to 9,773.68, 14,659.44 and 7,026.16

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Solution

The fourth proportional to 9,773.68, 14,659.44 and 7,026.16 is: 10,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.68 : 14,659.44 = 7,026.16 : x
  2. Step 2: Convert to fraction form
    9,773.68/14,659.44 = 7,026.16/x
  3. Step 3: Cross multiply
    9,773.68x = 14,659.44 × 7,026.16
  4. Step 4: Simplify right side
    9,773.68x = 102,999,570.95
  5. Step 5: Solve for x
    x = 102,999,570.95/9,773.68
  6. Step 6: Final answer
    x = 10,538.46

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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.