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Finding the Fourth Proportional to 11,752.25, 16,218.59 and 6,784.25

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Solution

The fourth proportional to 11,752.25, 16,218.59 and 6,784.25 is: 9,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.25 : 16,218.59 = 6,784.25 : x
  2. Step 2: Convert to fraction form
    11,752.25/16,218.59 = 6,784.25/x
  3. Step 3: Cross multiply
    11,752.25x = 16,218.59 × 6,784.25
  4. Step 4: Simplify right side
    11,752.25x = 110,030,935.29
  5. Step 5: Solve for x
    x = 110,030,935.29/11,752.25
  6. Step 6: Final answer
    x = 9,362.54

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1.5x scale

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.