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Finding the Fourth Proportional to 10,798.16, 14,897.16 and 7,022.16

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Solution

The fourth proportional to 10,798.16, 14,897.16 and 7,022.16 is: 9,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.16 : 14,897.16 = 7,022.16 : x
  2. Step 2: Convert to fraction form
    10,798.16/14,897.16 = 7,022.16/x
  3. Step 3: Cross multiply
    10,798.16x = 14,897.16 × 7,022.16
  4. Step 4: Simplify right side
    10,798.16x = 104,610,241.07
  5. Step 5: Solve for x
    x = 104,610,241.07/10,798.16
  6. Step 6: Final answer
    x = 9,687.78

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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.