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Finding the Fourth Proportional to 7,240.96, 9,994.10 and 4,409.26

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Solution

The fourth proportional to 7,240.96, 9,994.10 and 4,409.26 is: 6,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.96 : 9,994.10 = 4,409.26 : x
  2. Step 2: Convert to fraction form
    7,240.96/9,994.10 = 4,409.26/x
  3. Step 3: Cross multiply
    7,240.96x = 9,994.10 × 4,409.26
  4. Step 4: Simplify right side
    7,240.96x = 44,066,585.37
  5. Step 5: Solve for x
    x = 44,066,585.37/7,240.96
  6. Step 6: Final answer
    x = 6,085.74

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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.