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Finding the Fourth Proportional to 10,235.64, 14,125.20 and 5,759.64

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Solution

The fourth proportional to 10,235.64, 14,125.20 and 5,759.64 is: 7,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.64 : 14,125.20 = 5,759.64 : x
  2. Step 2: Convert to fraction form
    10,235.64/14,125.20 = 5,759.64/x
  3. Step 3: Cross multiply
    10,235.64x = 14,125.20 × 5,759.64
  4. Step 4: Simplify right side
    10,235.64x = 81,356,066.93
  5. Step 5: Solve for x
    x = 81,356,066.93/10,235.64
  6. Step 6: Final answer
    x = 7,948.31

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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.