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Finding the Fourth Proportional to 7,085.41, 9,777.72 and 3,941.40

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Solution

The fourth proportional to 7,085.41, 9,777.72 and 3,941.40 is: 5,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.41 : 9,777.72 = 3,941.40 : x
  2. Step 2: Convert to fraction form
    7,085.41/9,777.72 = 3,941.40/x
  3. Step 3: Cross multiply
    7,085.41x = 9,777.72 × 3,941.40
  4. Step 4: Simplify right side
    7,085.41x = 38,537,905.61
  5. Step 5: Solve for x
    x = 38,537,905.61/7,085.41
  6. Step 6: Final answer
    x = 5,439.05

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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.