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Finding the Fourth Proportional to 11,747.52, 16,205.76 and 7,030.08

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Solution

The fourth proportional to 11,747.52, 16,205.76 and 7,030.08 is: 9,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.52 : 16,205.76 = 7,030.08 : x
  2. Step 2: Convert to fraction form
    11,747.52/16,205.76 = 7,030.08/x
  3. Step 3: Cross multiply
    11,747.52x = 16,205.76 × 7,030.08
  4. Step 4: Simplify right side
    11,747.52x = 113,927,789.26
  5. Step 5: Solve for x
    x = 113,927,789.26/11,747.52
  6. Step 6: Final answer
    x = 9,698.03

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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.