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Finding the Fourth Proportional to 10,398.99, 14,341.27 and 6,865.77

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Solution

The fourth proportional to 10,398.99, 14,341.27 and 6,865.77 is: 9,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.99 : 14,341.27 = 6,865.77 : x
  2. Step 2: Convert to fraction form
    10,398.99/14,341.27 = 6,865.77/x
  3. Step 3: Cross multiply
    10,398.99x = 14,341.27 × 6,865.77
  4. Step 4: Simplify right side
    10,398.99x = 98,463,827.00
  5. Step 5: Solve for x
    x = 98,463,827.00/10,398.99
  6. Step 6: Final answer
    x = 9,468.60

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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.