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Finding the Fourth Proportional to 5,534.93, 7,643.58 and 4,733.57

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Solution

The fourth proportional to 5,534.93, 7,643.58 and 4,733.57 is: 6,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.93 : 7,643.58 = 4,733.57 : x
  2. Step 2: Convert to fraction form
    5,534.93/7,643.58 = 4,733.57/x
  3. Step 3: Cross multiply
    5,534.93x = 7,643.58 × 4,733.57
  4. Step 4: Simplify right side
    5,534.93x = 36,181,420.98
  5. Step 5: Solve for x
    x = 36,181,420.98/5,534.93
  6. Step 6: Final answer
    x = 6,536.92

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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.