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Finding the Fourth Proportional to 6,503.33, 9,771.05 and 4,164.35

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Solution

The fourth proportional to 6,503.33, 9,771.05 and 4,164.35 is: 6,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.33 : 9,771.05 = 4,164.35 : x
  2. Step 2: Convert to fraction form
    6,503.33/9,771.05 = 4,164.35/x
  3. Step 3: Cross multiply
    6,503.33x = 9,771.05 × 4,164.35
  4. Step 4: Simplify right side
    6,503.33x = 40,690,075.67
  5. Step 5: Solve for x
    x = 40,690,075.67/6,503.33
  6. Step 6: Final answer
    x = 6,256.80

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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.