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Finding the Fourth Proportional to 9,859.76, 14,783.52 and 3,284.24

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Solution

The fourth proportional to 9,859.76, 14,783.52 and 3,284.24 is: 4,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.76 : 14,783.52 = 3,284.24 : x
  2. Step 2: Convert to fraction form
    9,859.76/14,783.52 = 3,284.24/x
  3. Step 3: Cross multiply
    9,859.76x = 14,783.52 × 3,284.24
  4. Step 4: Simplify right side
    9,859.76x = 48,552,627.72
  5. Step 5: Solve for x
    x = 48,552,627.72/9,859.76
  6. Step 6: Final answer
    x = 4,924.32

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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.