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Finding the Fourth Proportional to 4,597.92, 6,898.02 and 1,311.06

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Solution

The fourth proportional to 4,597.92, 6,898.02 and 1,311.06 is: 1,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.92 : 6,898.02 = 1,311.06 : x
  2. Step 2: Convert to fraction form
    4,597.92/6,898.02 = 1,311.06/x
  3. Step 3: Cross multiply
    4,597.92x = 6,898.02 × 1,311.06
  4. Step 4: Simplify right side
    4,597.92x = 9,043,718.10
  5. Step 5: Solve for x
    x = 9,043,718.10/4,597.92
  6. Step 6: Final answer
    x = 1,966.92

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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.