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Finding the Fourth Proportional to 9,797.07, 14,699.22 and 4,534.65

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Solution

The fourth proportional to 9,797.07, 14,699.22 and 4,534.65 is: 6,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.07 : 14,699.22 = 4,534.65 : x
  2. Step 2: Convert to fraction form
    9,797.07/14,699.22 = 4,534.65/x
  3. Step 3: Cross multiply
    9,797.07x = 14,699.22 × 4,534.65
  4. Step 4: Simplify right side
    9,797.07x = 66,655,817.97
  5. Step 5: Solve for x
    x = 66,655,817.97/9,797.07
  6. Step 6: Final answer
    x = 6,803.65

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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.