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Finding the Fourth Proportional to 14,698.32, 20,284 and 8,410.72

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Solution

The fourth proportional to 14,698.32, 20,284 and 8,410.72 is: 11,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.32 : 20,284 = 8,410.72 : x
  2. Step 2: Convert to fraction form
    14,698.32/20,284 = 8,410.72/x
  3. Step 3: Cross multiply
    14,698.32x = 20,284 × 8,410.72
  4. Step 4: Simplify right side
    14,698.32x = 170,603,044.48
  5. Step 5: Solve for x
    x = 170,603,044.48/14,698.32
  6. Step 6: Final answer
    x = 11,606.98

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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.