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Finding the Fourth Proportional to 11,042.84, 15,234 and 6,564.08

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Solution

The fourth proportional to 11,042.84, 15,234 and 6,564.08 is: 9,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.84 : 15,234 = 6,564.08 : x
  2. Step 2: Convert to fraction form
    11,042.84/15,234 = 6,564.08/x
  3. Step 3: Cross multiply
    11,042.84x = 15,234 × 6,564.08
  4. Step 4: Simplify right side
    11,042.84x = 99,997,194.72
  5. Step 5: Solve for x
    x = 99,997,194.72/11,042.84
  6. Step 6: Final answer
    x = 9,055.39

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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.