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Finding the Fourth Proportional to 6,955.92, 9,603.72 and 4,307.22

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Solution

The fourth proportional to 6,955.92, 9,603.72 and 4,307.22 is: 5,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.92 : 9,603.72 = 4,307.22 : x
  2. Step 2: Convert to fraction form
    6,955.92/9,603.72 = 4,307.22/x
  3. Step 3: Cross multiply
    6,955.92x = 9,603.72 × 4,307.22
  4. Step 4: Simplify right side
    6,955.92x = 41,365,334.86
  5. Step 5: Solve for x
    x = 41,365,334.86/6,955.92
  6. Step 6: Final answer
    x = 5,946.78

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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.