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Finding the Fourth Proportional to 9,802.24, 13,538.34 and 6,460

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Solution

The fourth proportional to 9,802.24, 13,538.34 and 6,460 is: 8,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.24 : 13,538.34 = 6,460 : x
  2. Step 2: Convert to fraction form
    9,802.24/13,538.34 = 6,460/x
  3. Step 3: Cross multiply
    9,802.24x = 13,538.34 × 6,460
  4. Step 4: Simplify right side
    9,802.24x = 87,457,676.40
  5. Step 5: Solve for x
    x = 87,457,676.40/9,802.24
  6. Step 6: Final answer
    x = 8,922.21

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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.