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Finding the Fourth Proportional to 12,093.70, 18,140.55 and 6,564.10

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Solution

The fourth proportional to 12,093.70, 18,140.55 and 6,564.10 is: 9,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.70 : 18,140.55 = 6,564.10 : x
  2. Step 2: Convert to fraction form
    12,093.70/18,140.55 = 6,564.10/x
  3. Step 3: Cross multiply
    12,093.70x = 18,140.55 × 6,564.10
  4. Step 4: Simplify right side
    12,093.70x = 119,076,384.26
  5. Step 5: Solve for x
    x = 119,076,384.26/12,093.70
  6. Step 6: Final answer
    x = 9,846.15

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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.