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Finding the Fourth Proportional to 9,798.04, 13,532.70 and 8,210.44

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Solution

The fourth proportional to 9,798.04, 13,532.70 and 8,210.44 is: 11,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.04 : 13,532.70 = 8,210.44 : x
  2. Step 2: Convert to fraction form
    9,798.04/13,532.70 = 8,210.44/x
  3. Step 3: Cross multiply
    9,798.04x = 13,532.70 × 8,210.44
  4. Step 4: Simplify right side
    9,798.04x = 111,109,421.39
  5. Step 5: Solve for x
    x = 111,109,421.39/9,798.04
  6. Step 6: Final answer
    x = 11,339.96

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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.