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Finding the Fourth Proportional to 6,365.40, 9,548.10 and 2,666.64

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Solution

The fourth proportional to 6,365.40, 9,548.10 and 2,666.64 is: 3,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.40 : 9,548.10 = 2,666.64 : x
  2. Step 2: Convert to fraction form
    6,365.40/9,548.10 = 2,666.64/x
  3. Step 3: Cross multiply
    6,365.40x = 9,548.10 × 2,666.64
  4. Step 4: Simplify right side
    6,365.40x = 25,461,345.38
  5. Step 5: Solve for x
    x = 25,461,345.38/6,365.40
  6. Step 6: Final answer
    x = 3,999.96

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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.