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Finding the Fourth Proportional to 25,698.75, 35,464.28 and 14,520.75

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Solution

The fourth proportional to 25,698.75, 35,464.28 and 14,520.75 is: 20,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.75 : 35,464.28 = 14,520.75 : x
  2. Step 2: Convert to fraction form
    25,698.75/35,464.28 = 14,520.75/x
  3. Step 3: Cross multiply
    25,698.75x = 35,464.28 × 14,520.75
  4. Step 4: Simplify right side
    25,698.75x = 514,967,871.21
  5. Step 5: Solve for x
    x = 514,967,871.21/25,698.75
  6. Step 6: Final answer
    x = 20,038.64

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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.