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Finding the Fourth Proportional to 5,164.45, 7,746.68 and 4,901.50

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Solution

The fourth proportional to 5,164.45, 7,746.68 and 4,901.50 is: 7,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.45 : 7,746.68 = 4,901.50 : x
  2. Step 2: Convert to fraction form
    5,164.45/7,746.68 = 4,901.50/x
  3. Step 3: Cross multiply
    5,164.45x = 7,746.68 × 4,901.50
  4. Step 4: Simplify right side
    5,164.45x = 37,970,352.02
  5. Step 5: Solve for x
    x = 37,970,352.02/5,164.45
  6. Step 6: Final answer
    x = 7,352.25

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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.