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Finding the Fourth Proportional to 10,646.68, 15,969.02 and 5,023.04

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Solution

The fourth proportional to 10,646.68, 15,969.02 and 5,023.04 is: 7,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.68 : 15,969.02 = 5,023.04 : x
  2. Step 2: Convert to fraction form
    10,646.68/15,969.02 = 5,023.04/x
  3. Step 3: Cross multiply
    10,646.68x = 15,969.02 × 5,023.04
  4. Step 4: Simplify right side
    10,646.68x = 80,213,026.22
  5. Step 5: Solve for x
    x = 80,213,026.22/10,646.68
  6. Step 6: Final answer
    x = 7,534.09

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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.