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Finding the Fourth Proportional to 7,788.66, 11,740.46 and 7,337.10

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Solution

The fourth proportional to 7,788.66, 11,740.46 and 7,337.10 is: 11,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.66 : 11,740.46 = 7,337.10 : x
  2. Step 2: Convert to fraction form
    7,788.66/11,740.46 = 7,337.10/x
  3. Step 3: Cross multiply
    7,788.66x = 11,740.46 × 7,337.10
  4. Step 4: Simplify right side
    7,788.66x = 86,140,929.07
  5. Step 5: Solve for x
    x = 86,140,929.07/7,788.66
  6. Step 6: Final answer
    x = 11,059.79

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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.