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Finding the Fourth Proportional to 6,973.76, 9,634.08 and 5,491.52

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Solution

The fourth proportional to 6,973.76, 9,634.08 and 5,491.52 is: 7,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.76 : 9,634.08 = 5,491.52 : x
  2. Step 2: Convert to fraction form
    6,973.76/9,634.08 = 5,491.52/x
  3. Step 3: Cross multiply
    6,973.76x = 9,634.08 × 5,491.52
  4. Step 4: Simplify right side
    6,973.76x = 52,905,743.00
  5. Step 5: Solve for x
    x = 52,905,743.00/6,973.76
  6. Step 6: Final answer
    x = 7,586.40

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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.