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Finding the Fourth Proportional to 4,653.92, 6,980.96 and 1,143.95

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Solution

The fourth proportional to 4,653.92, 6,980.96 and 1,143.95 is: 1,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.92 : 6,980.96 = 1,143.95 : x
  2. Step 2: Convert to fraction form
    4,653.92/6,980.96 = 1,143.95/x
  3. Step 3: Cross multiply
    4,653.92x = 6,980.96 × 1,143.95
  4. Step 4: Simplify right side
    4,653.92x = 7,985,837.15
  5. Step 5: Solve for x
    x = 7,985,837.15/4,653.92
  6. Step 6: Final answer
    x = 1,715.94

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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.