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Finding the Fourth Proportional to 10,448.50, 14,417.16 and 6,909.82

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Solution

The fourth proportional to 10,448.50, 14,417.16 and 6,909.82 is: 9,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.50 : 14,417.16 = 6,909.82 : x
  2. Step 2: Convert to fraction form
    10,448.50/14,417.16 = 6,909.82/x
  3. Step 3: Cross multiply
    10,448.50x = 14,417.16 × 6,909.82
  4. Step 4: Simplify right side
    10,448.50x = 99,619,980.51
  5. Step 5: Solve for x
    x = 99,619,980.51/10,448.50
  6. Step 6: Final answer
    x = 9,534.38

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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.