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Finding the Fourth Proportional to 8,970.78, 12,378.78 and 5,433.78

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Solution

The fourth proportional to 8,970.78, 12,378.78 and 5,433.78 is: 7,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.78 : 12,378.78 = 5,433.78 : x
  2. Step 2: Convert to fraction form
    8,970.78/12,378.78 = 5,433.78/x
  3. Step 3: Cross multiply
    8,970.78x = 12,378.78 × 5,433.78
  4. Step 4: Simplify right side
    8,970.78x = 67,263,567.19
  5. Step 5: Solve for x
    x = 67,263,567.19/8,970.78
  6. Step 6: Final answer
    x = 7,498.07

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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.