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Finding the Fourth Proportional to 4,728.11, 7,093.70 and 1,610.10

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Solution

The fourth proportional to 4,728.11, 7,093.70 and 1,610.10 is: 2,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.11 : 7,093.70 = 1,610.10 : x
  2. Step 2: Convert to fraction form
    4,728.11/7,093.70 = 1,610.10/x
  3. Step 3: Cross multiply
    4,728.11x = 7,093.70 × 1,610.10
  4. Step 4: Simplify right side
    4,728.11x = 11,421,566.37
  5. Step 5: Solve for x
    x = 11,421,566.37/4,728.11
  6. Step 6: Final answer
    x = 2,415.67

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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.