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Finding the Fourth Proportional to 5,603.40, 7,725.24 and 4,695.30

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Solution

The fourth proportional to 5,603.40, 7,725.24 and 4,695.30 is: 6,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.40 : 7,725.24 = 4,695.30 : x
  2. Step 2: Convert to fraction form
    5,603.40/7,725.24 = 4,695.30/x
  3. Step 3: Cross multiply
    5,603.40x = 7,725.24 × 4,695.30
  4. Step 4: Simplify right side
    5,603.40x = 36,272,319.37
  5. Step 5: Solve for x
    x = 36,272,319.37/5,603.40
  6. Step 6: Final answer
    x = 6,473.27

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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.