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Finding the Fourth Proportional to 15,813.96, 23,718.06 and 7,047.24

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Solution

The fourth proportional to 15,813.96, 23,718.06 and 7,047.24 is: 10,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.96 : 23,718.06 = 7,047.24 : x
  2. Step 2: Convert to fraction form
    15,813.96/23,718.06 = 7,047.24/x
  3. Step 3: Cross multiply
    15,813.96x = 23,718.06 × 7,047.24
  4. Step 4: Simplify right side
    15,813.96x = 167,146,861.15
  5. Step 5: Solve for x
    x = 167,146,861.15/15,813.96
  6. Step 6: Final answer
    x = 10,569.58

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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.