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Finding the Fourth Proportional to 4,598.71, 6,899.14 and 1,311.85

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Solution

The fourth proportional to 4,598.71, 6,899.14 and 1,311.85 is: 1,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.71 : 6,899.14 = 1,311.85 : x
  2. Step 2: Convert to fraction form
    4,598.71/6,899.14 = 1,311.85/x
  3. Step 3: Cross multiply
    4,598.71x = 6,899.14 × 1,311.85
  4. Step 4: Simplify right side
    4,598.71x = 9,050,636.81
  5. Step 5: Solve for x
    x = 9,050,636.81/4,598.71
  6. Step 6: Final answer
    x = 1,968.08

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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.