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Finding the Fourth Proportional to 12,762.34, 17,607.10 and 9,413.10

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Solution

The fourth proportional to 12,762.34, 17,607.10 and 9,413.10 is: 12,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.34 : 17,607.10 = 9,413.10 : x
  2. Step 2: Convert to fraction form
    12,762.34/17,607.10 = 9,413.10/x
  3. Step 3: Cross multiply
    12,762.34x = 17,607.10 × 9,413.10
  4. Step 4: Simplify right side
    12,762.34x = 165,737,393.01
  5. Step 5: Solve for x
    x = 165,737,393.01/12,762.34
  6. Step 6: Final answer
    x = 12,986.44

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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.