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Finding the Fourth Proportional to 11,205.64, 16,807.29 and 4,965.76

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Solution

The fourth proportional to 11,205.64, 16,807.29 and 4,965.76 is: 7,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.64 : 16,807.29 = 4,965.76 : x
  2. Step 2: Convert to fraction form
    11,205.64/16,807.29 = 4,965.76/x
  3. Step 3: Cross multiply
    11,205.64x = 16,807.29 × 4,965.76
  4. Step 4: Simplify right side
    11,205.64x = 83,460,968.39
  5. Step 5: Solve for x
    x = 83,460,968.39/11,205.64
  6. Step 6: Final answer
    x = 7,448.12

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1.5x scale

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.