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Finding the Fourth Proportional to 7,700.16, 11,550.14 and 1,856.72

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Solution

The fourth proportional to 7,700.16, 11,550.14 and 1,856.72 is: 2,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.16 : 11,550.14 = 1,856.72 : x
  2. Step 2: Convert to fraction form
    7,700.16/11,550.14 = 1,856.72/x
  3. Step 3: Cross multiply
    7,700.16x = 11,550.14 × 1,856.72
  4. Step 4: Simplify right side
    7,700.16x = 21,445,359.18
  5. Step 5: Solve for x
    x = 21,445,359.18/7,700.16
  6. Step 6: Final answer
    x = 2,785.05

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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.