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Finding the Fourth Proportional to 11,285.46, 15,573.06 and 6,570.18

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Solution

The fourth proportional to 11,285.46, 15,573.06 and 6,570.18 is: 9,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.46 : 15,573.06 = 6,570.18 : x
  2. Step 2: Convert to fraction form
    11,285.46/15,573.06 = 6,570.18/x
  3. Step 3: Cross multiply
    11,285.46x = 15,573.06 × 6,570.18
  4. Step 4: Simplify right side
    11,285.46x = 102,317,807.35
  5. Step 5: Solve for x
    x = 102,317,807.35/11,285.46
  6. Step 6: Final answer
    x = 9,066.34

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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.