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Finding the Fourth Proportional to 6,965.60, 9,602.16 and 4,603.64

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Solution

The fourth proportional to 6,965.60, 9,602.16 and 4,603.64 is: 6,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.60 : 9,602.16 = 4,603.64 : x
  2. Step 2: Convert to fraction form
    6,965.60/9,602.16 = 4,603.64/x
  3. Step 3: Cross multiply
    6,965.60x = 9,602.16 × 4,603.64
  4. Step 4: Simplify right side
    6,965.60x = 44,204,887.86
  5. Step 5: Solve for x
    x = 44,204,887.86/6,965.60
  6. Step 6: Final answer
    x = 6,346.17

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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.