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Finding the Fourth Proportional to 6,973.68, 9,624 and 3,829.92

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Solution

The fourth proportional to 6,973.68, 9,624 and 3,829.92 is: 5,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.68 : 9,624 = 3,829.92 : x
  2. Step 2: Convert to fraction form
    6,973.68/9,624 = 3,829.92/x
  3. Step 3: Cross multiply
    6,973.68x = 9,624 × 3,829.92
  4. Step 4: Simplify right side
    6,973.68x = 36,859,150.08
  5. Step 5: Solve for x
    x = 36,859,150.08/6,973.68
  6. Step 6: Final answer
    x = 5,285.47

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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.