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Finding the Fourth Proportional to 9,253.64, 13,892.79 and 7,875.83

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Solution

The fourth proportional to 9,253.64, 13,892.79 and 7,875.83 is: 11,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.64 : 13,892.79 = 7,875.83 : x
  2. Step 2: Convert to fraction form
    9,253.64/13,892.79 = 7,875.83/x
  3. Step 3: Cross multiply
    9,253.64x = 13,892.79 × 7,875.83
  4. Step 4: Simplify right side
    9,253.64x = 109,417,252.27
  5. Step 5: Solve for x
    x = 109,417,252.27/9,253.64
  6. Step 6: Final answer
    x = 11,824.24

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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.