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Finding the Fourth Proportional to 9,774.24, 13,487.76 and 5,526

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Solution

The fourth proportional to 9,774.24, 13,487.76 and 5,526 is: 7,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.24 : 13,487.76 = 5,526 : x
  2. Step 2: Convert to fraction form
    9,774.24/13,487.76 = 5,526/x
  3. Step 3: Cross multiply
    9,774.24x = 13,487.76 × 5,526
  4. Step 4: Simplify right side
    9,774.24x = 74,533,361.76
  5. Step 5: Solve for x
    x = 74,533,361.76/9,774.24
  6. Step 6: Final answer
    x = 7,625.49

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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.