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Finding the Fourth Proportional to 7,210.14, 9,949.80 and 4,066.32

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Solution

The fourth proportional to 7,210.14, 9,949.80 and 4,066.32 is: 5,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.14 : 9,949.80 = 4,066.32 : x
  2. Step 2: Convert to fraction form
    7,210.14/9,949.80 = 4,066.32/x
  3. Step 3: Cross multiply
    7,210.14x = 9,949.80 × 4,066.32
  4. Step 4: Simplify right side
    7,210.14x = 40,459,070.74
  5. Step 5: Solve for x
    x = 40,459,070.74/7,210.14
  6. Step 6: Final answer
    x = 5,611.41

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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.