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Finding the Fourth Proportional to 4,964.22, 7,430.94 and 4,598.10

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Solution

The fourth proportional to 4,964.22, 7,430.94 and 4,598.10 is: 6,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.22 : 7,430.94 = 4,598.10 : x
  2. Step 2: Convert to fraction form
    4,964.22/7,430.94 = 4,598.10/x
  3. Step 3: Cross multiply
    4,964.22x = 7,430.94 × 4,598.10
  4. Step 4: Simplify right side
    4,964.22x = 34,168,205.21
  5. Step 5: Solve for x
    x = 34,168,205.21/4,964.22
  6. Step 6: Final answer
    x = 6,882.90

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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.