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Finding the Fourth Proportional to 9,722.55, 14,598.47 and 7,768.95

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Solution

The fourth proportional to 9,722.55, 14,598.47 and 7,768.95 is: 11,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.55 : 14,598.47 = 7,768.95 : x
  2. Step 2: Convert to fraction form
    9,722.55/14,598.47 = 7,768.95/x
  3. Step 3: Cross multiply
    9,722.55x = 14,598.47 × 7,768.95
  4. Step 4: Simplify right side
    9,722.55x = 113,414,744.66
  5. Step 5: Solve for x
    x = 113,414,744.66/9,722.55
  6. Step 6: Final answer
    x = 11,665.12

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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.