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Finding the Fourth Proportional to 10,200.76, 15,283.01 and 4,264.57

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Solution

The fourth proportional to 10,200.76, 15,283.01 and 4,264.57 is: 6,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.76 : 15,283.01 = 4,264.57 : x
  2. Step 2: Convert to fraction form
    10,200.76/15,283.01 = 4,264.57/x
  3. Step 3: Cross multiply
    10,200.76x = 15,283.01 × 4,264.57
  4. Step 4: Simplify right side
    10,200.76x = 65,175,465.96
  5. Step 5: Solve for x
    x = 65,175,465.96/10,200.76
  6. Step 6: Final answer
    x = 6,389.28

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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.