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Finding the Fourth Proportional to 4,597.13, 6,898.78 and 4,580.22

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Solution

The fourth proportional to 4,597.13, 6,898.78 and 4,580.22 is: 6,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.13 : 6,898.78 = 4,580.22 : x
  2. Step 2: Convert to fraction form
    4,597.13/6,898.78 = 4,580.22/x
  3. Step 3: Cross multiply
    4,597.13x = 6,898.78 × 4,580.22
  4. Step 4: Simplify right side
    4,597.13x = 31,597,930.13
  5. Step 5: Solve for x
    x = 31,597,930.13/4,597.13
  6. Step 6: Final answer
    x = 6,873.40

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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.