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Finding the Fourth Proportional to 6,552.60, 9,809.10 and 5,085.24

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Solution

The fourth proportional to 6,552.60, 9,809.10 and 5,085.24 is: 7,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.60 : 9,809.10 = 5,085.24 : x
  2. Step 2: Convert to fraction form
    6,552.60/9,809.10 = 5,085.24/x
  3. Step 3: Cross multiply
    6,552.60x = 9,809.10 × 5,085.24
  4. Step 4: Simplify right side
    6,552.60x = 49,881,627.68
  5. Step 5: Solve for x
    x = 49,881,627.68/6,552.60
  6. Step 6: Final answer
    x = 7,612.49

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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.