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Finding the Fourth Proportional to 31,301.40, 46,951.62 and 7,609.08

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Solution

The fourth proportional to 31,301.40, 46,951.62 and 7,609.08 is: 11,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301.40 : 46,951.62 = 7,609.08 : x
  2. Step 2: Convert to fraction form
    31,301.40/46,951.62 = 7,609.08/x
  3. Step 3: Cross multiply
    31,301.40x = 46,951.62 × 7,609.08
  4. Step 4: Simplify right side
    31,301.40x = 357,258,632.71
  5. Step 5: Solve for x
    x = 357,258,632.71/31,301.40
  6. Step 6: Final answer
    x = 11,413.50

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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.