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Finding the Fourth Proportional to 11,482.61, 15,845.48 and 6,446.74

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Solution

The fourth proportional to 11,482.61, 15,845.48 and 6,446.74 is: 8,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.61 : 15,845.48 = 6,446.74 : x
  2. Step 2: Convert to fraction form
    11,482.61/15,845.48 = 6,446.74/x
  3. Step 3: Cross multiply
    11,482.61x = 15,845.48 × 6,446.74
  4. Step 4: Simplify right side
    11,482.61x = 102,151,666.24
  5. Step 5: Solve for x
    x = 102,151,666.24/11,482.61
  6. Step 6: Final answer
    x = 8,896.21

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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.