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Finding the Fourth Proportional to 5,643.42, 8,465.94 and 1,748.13

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Solution

The fourth proportional to 5,643.42, 8,465.94 and 1,748.13 is: 2,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.42 : 8,465.94 = 1,748.13 : x
  2. Step 2: Convert to fraction form
    5,643.42/8,465.94 = 1,748.13/x
  3. Step 3: Cross multiply
    5,643.42x = 8,465.94 × 1,748.13
  4. Step 4: Simplify right side
    5,643.42x = 14,799,563.69
  5. Step 5: Solve for x
    x = 14,799,563.69/5,643.42
  6. Step 6: Final answer
    x = 2,622.45

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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.