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Finding the Fourth Proportional to 6,563.12, 9,784.96 and 5,824.40

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Solution

The fourth proportional to 6,563.12, 9,784.96 and 5,824.40 is: 8,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.12 : 9,784.96 = 5,824.40 : x
  2. Step 2: Convert to fraction form
    6,563.12/9,784.96 = 5,824.40/x
  3. Step 3: Cross multiply
    6,563.12x = 9,784.96 × 5,824.40
  4. Step 4: Simplify right side
    6,563.12x = 56,991,521.02
  5. Step 5: Solve for x
    x = 56,991,521.02/6,563.12
  6. Step 6: Final answer
    x = 8,683.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.