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Finding the Fourth Proportional to 9,773.20, 14,638.20 and 7,564.60

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Solution

The fourth proportional to 9,773.20, 14,638.20 and 7,564.60 is: 11,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.20 : 14,638.20 = 7,564.60 : x
  2. Step 2: Convert to fraction form
    9,773.20/14,638.20 = 7,564.60/x
  3. Step 3: Cross multiply
    9,773.20x = 14,638.20 × 7,564.60
  4. Step 4: Simplify right side
    9,773.20x = 110,732,127.72
  5. Step 5: Solve for x
    x = 110,732,127.72/9,773.20
  6. Step 6: Final answer
    x = 11,330.18

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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.