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Finding the Fourth Proportional to 6,977.04, 9,628.32 and 3,833.46

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Solution

The fourth proportional to 6,977.04, 9,628.32 and 3,833.46 is: 5,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.04 : 9,628.32 = 3,833.46 : x
  2. Step 2: Convert to fraction form
    6,977.04/9,628.32 = 3,833.46/x
  3. Step 3: Cross multiply
    6,977.04x = 9,628.32 × 3,833.46
  4. Step 4: Simplify right side
    6,977.04x = 36,909,779.59
  5. Step 5: Solve for x
    x = 36,909,779.59/6,977.04
  6. Step 6: Final answer
    x = 5,290.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.