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Finding the Fourth Proportional to 11,592.72, 15,992.64 and 6,875.28

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Solution

The fourth proportional to 11,592.72, 15,992.64 and 6,875.28 is: 9,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.72 : 15,992.64 = 6,875.28 : x
  2. Step 2: Convert to fraction form
    11,592.72/15,992.64 = 6,875.28/x
  3. Step 3: Cross multiply
    11,592.72x = 15,992.64 × 6,875.28
  4. Step 4: Simplify right side
    11,592.72x = 109,953,877.94
  5. Step 5: Solve for x
    x = 109,953,877.94/11,592.72
  6. Step 6: Final answer
    x = 9,484.74

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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.