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Finding the Fourth Proportional to 9,513.66, 13,128.93 and 5,264.66

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Solution

The fourth proportional to 9,513.66, 13,128.93 and 5,264.66 is: 7,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.66 : 13,128.93 = 5,264.66 : x
  2. Step 2: Convert to fraction form
    9,513.66/13,128.93 = 5,264.66/x
  3. Step 3: Cross multiply
    9,513.66x = 13,128.93 × 5,264.66
  4. Step 4: Simplify right side
    9,513.66x = 69,119,286.97
  5. Step 5: Solve for x
    x = 69,119,286.97/9,513.66
  6. Step 6: Final answer
    x = 7,265.27

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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.