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Finding the Fourth Proportional to 6,973.76, 9,620.16 and 5,648.96

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Solution

The fourth proportional to 6,973.76, 9,620.16 and 5,648.96 is: 7,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.76 : 9,620.16 = 5,648.96 : x
  2. Step 2: Convert to fraction form
    6,973.76/9,620.16 = 5,648.96/x
  3. Step 3: Cross multiply
    6,973.76x = 9,620.16 × 5,648.96
  4. Step 4: Simplify right side
    6,973.76x = 54,343,899.03
  5. Step 5: Solve for x
    x = 54,343,899.03/6,973.76
  6. Step 6: Final answer
    x = 7,792.63

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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.