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Finding the Fourth Proportional to 10,564.60, 15,846.90 and 9,722.20

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Solution

The fourth proportional to 10,564.60, 15,846.90 and 9,722.20 is: 14,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.60 : 15,846.90 = 9,722.20 : x
  2. Step 2: Convert to fraction form
    10,564.60/15,846.90 = 9,722.20/x
  3. Step 3: Cross multiply
    10,564.60x = 15,846.90 × 9,722.20
  4. Step 4: Simplify right side
    10,564.60x = 154,066,731.18
  5. Step 5: Solve for x
    x = 154,066,731.18/10,564.60
  6. Step 6: Final answer
    x = 14,583.30

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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.