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Finding the Fourth Proportional to 23,496, 35,248.56 and 6,856.12

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Solution

The fourth proportional to 23,496, 35,248.56 and 6,856.12 is: 10,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496 : 35,248.56 = 6,856.12 : x
  2. Step 2: Convert to fraction form
    23,496/35,248.56 = 6,856.12/x
  3. Step 3: Cross multiply
    23,496x = 35,248.56 × 6,856.12
  4. Step 4: Simplify right side
    23,496x = 241,668,357.19
  5. Step 5: Solve for x
    x = 241,668,357.19/23,496
  6. Step 6: Final answer
    x = 10,285.51

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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.