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Finding the Fourth Proportional to 8,969.77, 12,378.33 and 5,430.46

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Solution

The fourth proportional to 8,969.77, 12,378.33 and 5,430.46 is: 7,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.77 : 12,378.33 = 5,430.46 : x
  2. Step 2: Convert to fraction form
    8,969.77/12,378.33 = 5,430.46/x
  3. Step 3: Cross multiply
    8,969.77x = 12,378.33 × 5,430.46
  4. Step 4: Simplify right side
    8,969.77x = 67,220,025.93
  5. Step 5: Solve for x
    x = 67,220,025.93/8,969.77
  6. Step 6: Final answer
    x = 7,494.06

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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.