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Finding the Fourth Proportional to 6,298.72, 9,450 and 4,547.68

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Solution

The fourth proportional to 6,298.72, 9,450 and 4,547.68 is: 6,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.72 : 9,450 = 4,547.68 : x
  2. Step 2: Convert to fraction form
    6,298.72/9,450 = 4,547.68/x
  3. Step 3: Cross multiply
    6,298.72x = 9,450 × 4,547.68
  4. Step 4: Simplify right side
    6,298.72x = 42,975,576
  5. Step 5: Solve for x
    x = 42,975,576/6,298.72
  6. Step 6: Final answer
    x = 6,822.91

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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.