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Finding the Fourth Proportional to 7,970.73, 11,953.67 and 6,407.03

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Solution

The fourth proportional to 7,970.73, 11,953.67 and 6,407.03 is: 9,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.73 : 11,953.67 = 6,407.03 : x
  2. Step 2: Convert to fraction form
    7,970.73/11,953.67 = 6,407.03/x
  3. Step 3: Cross multiply
    7,970.73x = 11,953.67 × 6,407.03
  4. Step 4: Simplify right side
    7,970.73x = 76,587,430.50
  5. Step 5: Solve for x
    x = 76,587,430.50/7,970.73
  6. Step 6: Final answer
    x = 9,608.58

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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.