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Finding the Fourth Proportional to 11,346, 15,657.48 and 6,634.24

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Solution

The fourth proportional to 11,346, 15,657.48 and 6,634.24 is: 9,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346 : 15,657.48 = 6,634.24 : x
  2. Step 2: Convert to fraction form
    11,346/15,657.48 = 6,634.24/x
  3. Step 3: Cross multiply
    11,346x = 15,657.48 × 6,634.24
  4. Step 4: Simplify right side
    11,346x = 103,875,480.12
  5. Step 5: Solve for x
    x = 103,875,480.12/11,346
  6. Step 6: Final answer
    x = 9,155.25

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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.