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Finding the Fourth Proportional to 27,459.65, 41,189.47 and 7,735.64

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Solution

The fourth proportional to 27,459.65, 41,189.47 and 7,735.64 is: 11,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459.65 : 41,189.47 = 7,735.64 : x
  2. Step 2: Convert to fraction form
    27,459.65/41,189.47 = 7,735.64/x
  3. Step 3: Cross multiply
    27,459.65x = 41,189.47 × 7,735.64
  4. Step 4: Simplify right side
    27,459.65x = 318,626,686.42
  5. Step 5: Solve for x
    x = 318,626,686.42/27,459.65
  6. Step 6: Final answer
    x = 11,603.45

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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.