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Finding the Fourth Proportional to 6,478.16, 9,721.53 and 3,558.50

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Solution

The fourth proportional to 6,478.16, 9,721.53 and 3,558.50 is: 5,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.16 : 9,721.53 = 3,558.50 : x
  2. Step 2: Convert to fraction form
    6,478.16/9,721.53 = 3,558.50/x
  3. Step 3: Cross multiply
    6,478.16x = 9,721.53 × 3,558.50
  4. Step 4: Simplify right side
    6,478.16x = 34,594,064.51
  5. Step 5: Solve for x
    x = 34,594,064.51/6,478.16
  6. Step 6: Final answer
    x = 5,340.11

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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.