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Finding the Fourth Proportional to 7,952.48, 11,904.96 and 4,823

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Solution

The fourth proportional to 7,952.48, 11,904.96 and 4,823 is: 7,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.48 : 11,904.96 = 4,823 : x
  2. Step 2: Convert to fraction form
    7,952.48/11,904.96 = 4,823/x
  3. Step 3: Cross multiply
    7,952.48x = 11,904.96 × 4,823
  4. Step 4: Simplify right side
    7,952.48x = 57,417,622.08
  5. Step 5: Solve for x
    x = 57,417,622.08/7,952.48
  6. Step 6: Final answer
    x = 7,220.09

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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.