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Finding the Fourth Proportional to 15,706.74, 21,662.76 and 10,334.70

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Solution

The fourth proportional to 15,706.74, 21,662.76 and 10,334.70 is: 14,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.74 : 21,662.76 = 10,334.70 : x
  2. Step 2: Convert to fraction form
    15,706.74/21,662.76 = 10,334.70/x
  3. Step 3: Cross multiply
    15,706.74x = 21,662.76 × 10,334.70
  4. Step 4: Simplify right side
    15,706.74x = 223,878,125.77
  5. Step 5: Solve for x
    x = 223,878,125.77/15,706.74
  6. Step 6: Final answer
    x = 14,253.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.