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Finding the Fourth Proportional to 12,762.84, 17,607.80 and 9,413.59

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Solution

The fourth proportional to 12,762.84, 17,607.80 and 9,413.59 is: 12,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.84 : 17,607.80 = 9,413.59 : x
  2. Step 2: Convert to fraction form
    12,762.84/17,607.80 = 9,413.59/x
  3. Step 3: Cross multiply
    12,762.84x = 17,607.80 × 9,413.59
  4. Step 4: Simplify right side
    12,762.84x = 165,752,610.00
  5. Step 5: Solve for x
    x = 165,752,610.00/12,762.84
  6. Step 6: Final answer
    x = 12,987.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.