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Finding the Fourth Proportional to 9,423.62, 12,989.71 and 7,529.24

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Solution

The fourth proportional to 9,423.62, 12,989.71 and 7,529.24 is: 10,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.62 : 12,989.71 = 7,529.24 : x
  2. Step 2: Convert to fraction form
    9,423.62/12,989.71 = 7,529.24/x
  3. Step 3: Cross multiply
    9,423.62x = 12,989.71 × 7,529.24
  4. Step 4: Simplify right side
    9,423.62x = 97,802,644.12
  5. Step 5: Solve for x
    x = 97,802,644.12/9,423.62
  6. Step 6: Final answer
    x = 10,378.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.