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Finding the Fourth Proportional to 10,265.64, 15,403.09 and 5,883.10

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Solution

The fourth proportional to 10,265.64, 15,403.09 and 5,883.10 is: 8,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.64 : 15,403.09 = 5,883.10 : x
  2. Step 2: Convert to fraction form
    10,265.64/15,403.09 = 5,883.10/x
  3. Step 3: Cross multiply
    10,265.64x = 15,403.09 × 5,883.10
  4. Step 4: Simplify right side
    10,265.64x = 90,617,918.78
  5. Step 5: Solve for x
    x = 90,617,918.78/10,265.64
  6. Step 6: Final answer
    x = 8,827.30

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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.