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Finding the Fourth Proportional to 9,526.16, 14,208.94 and 9,234.56

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Solution

The fourth proportional to 9,526.16, 14,208.94 and 9,234.56 is: 13,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.16 : 14,208.94 = 9,234.56 : x
  2. Step 2: Convert to fraction form
    9,526.16/14,208.94 = 9,234.56/x
  3. Step 3: Cross multiply
    9,526.16x = 14,208.94 × 9,234.56
  4. Step 4: Simplify right side
    9,526.16x = 131,213,308.97
  5. Step 5: Solve for x
    x = 131,213,308.97/9,526.16
  6. Step 6: Final answer
    x = 13,774.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.