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Finding the Fourth Proportional to 6,315.60, 8,724.60 and 6,056.40

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Solution

The fourth proportional to 6,315.60, 8,724.60 and 6,056.40 is: 8,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.60 : 8,724.60 = 6,056.40 : x
  2. Step 2: Convert to fraction form
    6,315.60/8,724.60 = 6,056.40/x
  3. Step 3: Cross multiply
    6,315.60x = 8,724.60 × 6,056.40
  4. Step 4: Simplify right side
    6,315.60x = 52,839,667.44
  5. Step 5: Solve for x
    x = 52,839,667.44/6,315.60
  6. Step 6: Final answer
    x = 8,366.53

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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.