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Finding the Fourth Proportional to 15,672.16, 23,509.46 and 6,788.08

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Solution

The fourth proportional to 15,672.16, 23,509.46 and 6,788.08 is: 10,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672.16 : 23,509.46 = 6,788.08 : x
  2. Step 2: Convert to fraction form
    15,672.16/23,509.46 = 6,788.08/x
  3. Step 3: Cross multiply
    15,672.16x = 23,509.46 × 6,788.08
  4. Step 4: Simplify right side
    15,672.16x = 159,584,095.24
  5. Step 5: Solve for x
    x = 159,584,095.24/15,672.16
  6. Step 6: Final answer
    x = 10,182.65

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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.