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Finding the Fourth Proportional to 9,775.67, 14,671.37 and 5,097.11

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Solution

The fourth proportional to 9,775.67, 14,671.37 and 5,097.11 is: 7,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.67 : 14,671.37 = 5,097.11 : x
  2. Step 2: Convert to fraction form
    9,775.67/14,671.37 = 5,097.11/x
  3. Step 3: Cross multiply
    9,775.67x = 14,671.37 × 5,097.11
  4. Step 4: Simplify right side
    9,775.67x = 74,781,526.13
  5. Step 5: Solve for x
    x = 74,781,526.13/9,775.67
  6. Step 6: Final answer
    x = 7,649.76

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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.