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Finding the Fourth Proportional to 9,722.79, 14,583.57 and 5,041.39

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Solution

The fourth proportional to 9,722.79, 14,583.57 and 5,041.39 is: 7,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.79 : 14,583.57 = 5,041.39 : x
  2. Step 2: Convert to fraction form
    9,722.79/14,583.57 = 5,041.39/x
  3. Step 3: Cross multiply
    9,722.79x = 14,583.57 × 5,041.39
  4. Step 4: Simplify right side
    9,722.79x = 73,521,463.96
  5. Step 5: Solve for x
    x = 73,521,463.96/9,722.79
  6. Step 6: Final answer
    x = 7,561.77

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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.