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Finding the Fourth Proportional to 7,001.82, 10,503.90 and 3,106.08

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Solution

The fourth proportional to 7,001.82, 10,503.90 and 3,106.08 is: 4,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.82 : 10,503.90 = 3,106.08 : x
  2. Step 2: Convert to fraction form
    7,001.82/10,503.90 = 3,106.08/x
  3. Step 3: Cross multiply
    7,001.82x = 10,503.90 × 3,106.08
  4. Step 4: Simplify right side
    7,001.82x = 32,625,953.71
  5. Step 5: Solve for x
    x = 32,625,953.71/7,001.82
  6. Step 6: Final answer
    x = 4,659.64

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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.