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Finding the Fourth Proportional to 9,723.14, 14,592.16 and 7,526.42

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Solution

The fourth proportional to 9,723.14, 14,592.16 and 7,526.42 is: 11,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.14 : 14,592.16 = 7,526.42 : x
  2. Step 2: Convert to fraction form
    9,723.14/14,592.16 = 7,526.42/x
  3. Step 3: Cross multiply
    9,723.14x = 14,592.16 × 7,526.42
  4. Step 4: Simplify right side
    9,723.14x = 109,826,724.87
  5. Step 5: Solve for x
    x = 109,826,724.87/9,723.14
  6. Step 6: Final answer
    x = 11,295.40

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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.