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Finding the Fourth Proportional to 6,985.66, 9,636.12 and 4,501.66

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Solution

The fourth proportional to 6,985.66, 9,636.12 and 4,501.66 is: 6,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.66 : 9,636.12 = 4,501.66 : x
  2. Step 2: Convert to fraction form
    6,985.66/9,636.12 = 4,501.66/x
  3. Step 3: Cross multiply
    6,985.66x = 9,636.12 × 4,501.66
  4. Step 4: Simplify right side
    6,985.66x = 43,378,535.96
  5. Step 5: Solve for x
    x = 43,378,535.96/6,985.66
  6. Step 6: Final answer
    x = 6,209.65

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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.