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Finding the Fourth Proportional to 7,206.38, 9,946.35 and 4,552.10

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Solution

The fourth proportional to 7,206.38, 9,946.35 and 4,552.10 is: 6,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.38 : 9,946.35 = 4,552.10 : x
  2. Step 2: Convert to fraction form
    7,206.38/9,946.35 = 4,552.10/x
  3. Step 3: Cross multiply
    7,206.38x = 9,946.35 × 4,552.10
  4. Step 4: Simplify right side
    7,206.38x = 45,276,779.84
  5. Step 5: Solve for x
    x = 45,276,779.84/7,206.38
  6. Step 6: Final answer
    x = 6,282.87

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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.