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Finding the Fourth Proportional to 7,858.04, 11,771.64 and 4,564.24

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Solution

The fourth proportional to 7,858.04, 11,771.64 and 4,564.24 is: 6,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.04 : 11,771.64 = 4,564.24 : x
  2. Step 2: Convert to fraction form
    7,858.04/11,771.64 = 4,564.24/x
  3. Step 3: Cross multiply
    7,858.04x = 11,771.64 × 4,564.24
  4. Step 4: Simplify right side
    7,858.04x = 53,728,590.15
  5. Step 5: Solve for x
    x = 53,728,590.15/7,858.04
  6. Step 6: Final answer
    x = 6,837.40

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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.