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Finding the Fourth Proportional to 6,783.60, 9,361.80 and 4,432.08

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Solution

The fourth proportional to 6,783.60, 9,361.80 and 4,432.08 is: 6,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.60 : 9,361.80 = 4,432.08 : x
  2. Step 2: Convert to fraction form
    6,783.60/9,361.80 = 4,432.08/x
  3. Step 3: Cross multiply
    6,783.60x = 9,361.80 × 4,432.08
  4. Step 4: Simplify right side
    6,783.60x = 41,492,246.54
  5. Step 5: Solve for x
    x = 41,492,246.54/6,783.60
  6. Step 6: Final answer
    x = 6,116.55

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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.