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Finding the Fourth Proportional to 9,201.52, 12,698.08 and 5,009.76

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Solution

The fourth proportional to 9,201.52, 12,698.08 and 5,009.76 is: 6,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.52 : 12,698.08 = 5,009.76 : x
  2. Step 2: Convert to fraction form
    9,201.52/12,698.08 = 5,009.76/x
  3. Step 3: Cross multiply
    9,201.52x = 12,698.08 × 5,009.76
  4. Step 4: Simplify right side
    9,201.52x = 63,614,333.26
  5. Step 5: Solve for x
    x = 63,614,333.26/9,201.52
  6. Step 6: Final answer
    x = 6,913.46

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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.