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Finding the Fourth Proportional to 11,602.24, 16,013.12 and 6,888

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Solution

The fourth proportional to 11,602.24, 16,013.12 and 6,888 is: 9,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.24 : 16,013.12 = 6,888 : x
  2. Step 2: Convert to fraction form
    11,602.24/16,013.12 = 6,888/x
  3. Step 3: Cross multiply
    11,602.24x = 16,013.12 × 6,888
  4. Step 4: Simplify right side
    11,602.24x = 110,298,370.56
  5. Step 5: Solve for x
    x = 110,298,370.56/11,602.24
  6. Step 6: Final answer
    x = 9,506.64

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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.