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Finding the Fourth Proportional to 7,748.16, 11,673.94 and 7,008.62

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Solution

The fourth proportional to 7,748.16, 11,673.94 and 7,008.62 is: 10,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.16 : 11,673.94 = 7,008.62 : x
  2. Step 2: Convert to fraction form
    7,748.16/11,673.94 = 7,008.62/x
  3. Step 3: Cross multiply
    7,748.16x = 11,673.94 × 7,008.62
  4. Step 4: Simplify right side
    7,748.16x = 81,818,209.36
  5. Step 5: Solve for x
    x = 81,818,209.36/7,748.16
  6. Step 6: Final answer
    x = 10,559.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.