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Finding the Fourth Proportional to 5,097, 7,016.58 and 4,572.84

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Solution

The fourth proportional to 5,097, 7,016.58 and 4,572.84 is: 6,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097 : 7,016.58 = 4,572.84 : x
  2. Step 2: Convert to fraction form
    5,097/7,016.58 = 4,572.84/x
  3. Step 3: Cross multiply
    5,097x = 7,016.58 × 4,572.84
  4. Step 4: Simplify right side
    5,097x = 32,085,697.69
  5. Step 5: Solve for x
    x = 32,085,697.69/5,097
  6. Step 6: Final answer
    x = 6,295.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.