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Finding the Fourth Proportional to 9,424.84, 14,152.02 and 7,493.20

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Solution

The fourth proportional to 9,424.84, 14,152.02 and 7,493.20 is: 11,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.84 : 14,152.02 = 7,493.20 : x
  2. Step 2: Convert to fraction form
    9,424.84/14,152.02 = 7,493.20/x
  3. Step 3: Cross multiply
    9,424.84x = 14,152.02 × 7,493.20
  4. Step 4: Simplify right side
    9,424.84x = 106,043,916.26
  5. Step 5: Solve for x
    x = 106,043,916.26/9,424.84
  6. Step 6: Final answer
    x = 11,251.53

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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.