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Finding the Fourth Proportional to 15,725.68, 23,596.68 and 6,966.64

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Solution

The fourth proportional to 15,725.68, 23,596.68 and 6,966.64 is: 10,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.68 : 23,596.68 = 6,966.64 : x
  2. Step 2: Convert to fraction form
    15,725.68/23,596.68 = 6,966.64/x
  3. Step 3: Cross multiply
    15,725.68x = 23,596.68 × 6,966.64
  4. Step 4: Simplify right side
    15,725.68x = 164,389,574.76
  5. Step 5: Solve for x
    x = 164,389,574.76/15,725.68
  6. Step 6: Final answer
    x = 10,453.57

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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.