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Finding the Fourth Proportional to 5,355.40, 7,206.75 and 5,355.40

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Solution

The fourth proportional to 5,355.40, 7,206.75 and 5,355.40 is: 7,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.40 : 7,206.75 = 5,355.40 : x
  2. Step 2: Convert to fraction form
    5,355.40/7,206.75 = 5,355.40/x
  3. Step 3: Cross multiply
    5,355.40x = 7,206.75 × 5,355.40
  4. Step 4: Simplify right side
    5,355.40x = 38,595,028.95
  5. Step 5: Solve for x
    x = 38,595,028.95/5,355.40
  6. Step 6: Final answer
    x = 7,206.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.