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Finding the Fourth Proportional to 7,085.17, 9,777.16 and 3,941.16

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Solution

The fourth proportional to 7,085.17, 9,777.16 and 3,941.16 is: 5,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.17 : 9,777.16 = 3,941.16 : x
  2. Step 2: Convert to fraction form
    7,085.17/9,777.16 = 3,941.16/x
  3. Step 3: Cross multiply
    7,085.17x = 9,777.16 × 3,941.16
  4. Step 4: Simplify right side
    7,085.17x = 38,533,298.00
  5. Step 5: Solve for x
    x = 38,533,298.00/7,085.17
  6. Step 6: Final answer
    x = 5,438.58

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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.