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Finding the Fourth Proportional to 5,164.64, 7,703.93 and 4,666.35

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Solution

The fourth proportional to 5,164.64, 7,703.93 and 4,666.35 is: 6,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.64 : 7,703.93 = 4,666.35 : x
  2. Step 2: Convert to fraction form
    5,164.64/7,703.93 = 4,666.35/x
  3. Step 3: Cross multiply
    5,164.64x = 7,703.93 × 4,666.35
  4. Step 4: Simplify right side
    5,164.64x = 35,949,245.42
  5. Step 5: Solve for x
    x = 35,949,245.42/5,164.64
  6. Step 6: Final answer
    x = 6,960.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.