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Finding the Fourth Proportional to 7,569.16, 11,353.02 and 2,374.12

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Solution

The fourth proportional to 7,569.16, 11,353.02 and 2,374.12 is: 3,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.16 : 11,353.02 = 2,374.12 : x
  2. Step 2: Convert to fraction form
    7,569.16/11,353.02 = 2,374.12/x
  3. Step 3: Cross multiply
    7,569.16x = 11,353.02 × 2,374.12
  4. Step 4: Simplify right side
    7,569.16x = 26,953,431.84
  5. Step 5: Solve for x
    x = 26,953,431.84/7,569.16
  6. Step 6: Final answer
    x = 3,560.95

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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.