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Finding the Fourth Proportional to 9,773.52, 14,645.16 and 7,458

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Solution

The fourth proportional to 9,773.52, 14,645.16 and 7,458 is: 11,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.52 : 14,645.16 = 7,458 : x
  2. Step 2: Convert to fraction form
    9,773.52/14,645.16 = 7,458/x
  3. Step 3: Cross multiply
    9,773.52x = 14,645.16 × 7,458
  4. Step 4: Simplify right side
    9,773.52x = 109,223,603.28
  5. Step 5: Solve for x
    x = 109,223,603.28/9,773.52
  6. Step 6: Final answer
    x = 11,175.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.