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Finding the Fourth Proportional to 11,552, 15,944.64 and 6,586.88

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Solution

The fourth proportional to 11,552, 15,944.64 and 6,586.88 is: 9,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552 : 15,944.64 = 6,586.88 : x
  2. Step 2: Convert to fraction form
    11,552/15,944.64 = 6,586.88/x
  3. Step 3: Cross multiply
    11,552x = 15,944.64 × 6,586.88
  4. Step 4: Simplify right side
    11,552x = 105,025,430.32
  5. Step 5: Solve for x
    x = 105,025,430.32/11,552
  6. Step 6: Final answer
    x = 9,091.54

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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.