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Finding the Fourth Proportional to 5,157.64, 7,113.86 and 4,733.63

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Solution

The fourth proportional to 5,157.64, 7,113.86 and 4,733.63 is: 6,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.64 : 7,113.86 = 4,733.63 : x
  2. Step 2: Convert to fraction form
    5,157.64/7,113.86 = 4,733.63/x
  3. Step 3: Cross multiply
    5,157.64x = 7,113.86 × 4,733.63
  4. Step 4: Simplify right side
    5,157.64x = 33,674,357.44
  5. Step 5: Solve for x
    x = 33,674,357.44/5,157.64
  6. Step 6: Final answer
    x = 6,529.03

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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.