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Finding the Fourth Proportional to 6,823.60, 10,237.80 and 6,583.60

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Solution

The fourth proportional to 6,823.60, 10,237.80 and 6,583.60 is: 9,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.60 : 10,237.80 = 6,583.60 : x
  2. Step 2: Convert to fraction form
    6,823.60/10,237.80 = 6,583.60/x
  3. Step 3: Cross multiply
    6,823.60x = 10,237.80 × 6,583.60
  4. Step 4: Simplify right side
    6,823.60x = 67,401,580.08
  5. Step 5: Solve for x
    x = 67,401,580.08/6,823.60
  6. Step 6: Final answer
    x = 9,877.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.