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Finding the Fourth Proportional to 6,164.70, 9,237.60 and 4,597.35

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Solution

The fourth proportional to 6,164.70, 9,237.60 and 4,597.35 is: 6,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.70 : 9,237.60 = 4,597.35 : x
  2. Step 2: Convert to fraction form
    6,164.70/9,237.60 = 4,597.35/x
  3. Step 3: Cross multiply
    6,164.70x = 9,237.60 × 4,597.35
  4. Step 4: Simplify right side
    6,164.70x = 42,468,480.36
  5. Step 5: Solve for x
    x = 42,468,480.36/6,164.70
  6. Step 6: Final answer
    x = 6,888.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.