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Finding the Fourth Proportional to 6,507.24, 8,970.66 and 4,641

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Solution

The fourth proportional to 6,507.24, 8,970.66 and 4,641 is: 6,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.24 : 8,970.66 = 4,641 : x
  2. Step 2: Convert to fraction form
    6,507.24/8,970.66 = 4,641/x
  3. Step 3: Cross multiply
    6,507.24x = 8,970.66 × 4,641
  4. Step 4: Simplify right side
    6,507.24x = 41,632,833.06
  5. Step 5: Solve for x
    x = 41,632,833.06/6,507.24
  6. Step 6: Final answer
    x = 6,397.92

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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.