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Finding the Fourth Proportional to 7,631.96, 11,462.97 and 7,303.91

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Solution

The fourth proportional to 7,631.96, 11,462.97 and 7,303.91 is: 10,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.96 : 11,462.97 = 7,303.91 : x
  2. Step 2: Convert to fraction form
    7,631.96/11,462.97 = 7,303.91/x
  3. Step 3: Cross multiply
    7,631.96x = 11,462.97 × 7,303.91
  4. Step 4: Simplify right side
    7,631.96x = 83,724,430.20
  5. Step 5: Solve for x
    x = 83,724,430.20/7,631.96
  6. Step 6: Final answer
    x = 10,970.25

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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.