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Finding the Fourth Proportional to 7,572.25, 10,449.75 and 4,260.25

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Solution

The fourth proportional to 7,572.25, 10,449.75 and 4,260.25 is: 5,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.25 : 10,449.75 = 4,260.25 : x
  2. Step 2: Convert to fraction form
    7,572.25/10,449.75 = 4,260.25/x
  3. Step 3: Cross multiply
    7,572.25x = 10,449.75 × 4,260.25
  4. Step 4: Simplify right side
    7,572.25x = 44,518,547.44
  5. Step 5: Solve for x
    x = 44,518,547.44/7,572.25
  6. Step 6: Final answer
    x = 5,879.17

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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.