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Finding the Fourth Proportional to 8,563.40, 11,823.06 and 7,665.58

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Solution

The fourth proportional to 8,563.40, 11,823.06 and 7,665.58 is: 10,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.40 : 11,823.06 = 7,665.58 : x
  2. Step 2: Convert to fraction form
    8,563.40/11,823.06 = 7,665.58/x
  3. Step 3: Cross multiply
    8,563.40x = 11,823.06 × 7,665.58
  4. Step 4: Simplify right side
    8,563.40x = 90,630,612.27
  5. Step 5: Solve for x
    x = 90,630,612.27/8,563.40
  6. Step 6: Final answer
    x = 10,583.48

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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.