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Finding the Fourth Proportional to 17,656.12, 24,364 and 9,698.16

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Solution

The fourth proportional to 17,656.12, 24,364 and 9,698.16 is: 13,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.12 : 24,364 = 9,698.16 : x
  2. Step 2: Convert to fraction form
    17,656.12/24,364 = 9,698.16/x
  3. Step 3: Cross multiply
    17,656.12x = 24,364 × 9,698.16
  4. Step 4: Simplify right side
    17,656.12x = 236,285,970.24
  5. Step 5: Solve for x
    x = 236,285,970.24/17,656.12
  6. Step 6: Final answer
    x = 13,382.67

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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.