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Finding the Fourth Proportional to 17,656.46, 24,366.06 and 9,698.74

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Solution

The fourth proportional to 17,656.46, 24,366.06 and 9,698.74 is: 13,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.46 : 24,366.06 = 9,698.74 : x
  2. Step 2: Convert to fraction form
    17,656.46/24,366.06 = 9,698.74/x
  3. Step 3: Cross multiply
    17,656.46x = 24,366.06 × 9,698.74
  4. Step 4: Simplify right side
    17,656.46x = 236,320,080.76
  5. Step 5: Solve for x
    x = 236,320,080.76/17,656.46
  6. Step 6: Final answer
    x = 13,384.34

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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.