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Finding the Fourth Proportional to 8,503.52, 11,706.12 and 7,009.08

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Solution

The fourth proportional to 8,503.52, 11,706.12 and 7,009.08 is: 9,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.52 : 11,706.12 = 7,009.08 : x
  2. Step 2: Convert to fraction form
    8,503.52/11,706.12 = 7,009.08/x
  3. Step 3: Cross multiply
    8,503.52x = 11,706.12 × 7,009.08
  4. Step 4: Simplify right side
    8,503.52x = 82,049,131.57
  5. Step 5: Solve for x
    x = 82,049,131.57/8,503.52
  6. Step 6: Final answer
    x = 9,648.84

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Half scale
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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.