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Finding the Fourth Proportional to 9,889.32, 14,841.54 and 7,293

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Solution

The fourth proportional to 9,889.32, 14,841.54 and 7,293 is: 10,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.32 : 14,841.54 = 7,293 : x
  2. Step 2: Convert to fraction form
    9,889.32/14,841.54 = 7,293/x
  3. Step 3: Cross multiply
    9,889.32x = 14,841.54 × 7,293
  4. Step 4: Simplify right side
    9,889.32x = 108,239,351.22
  5. Step 5: Solve for x
    x = 108,239,351.22/9,889.32
  6. Step 6: Final answer
    x = 10,945.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.