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Finding the Fourth Proportional to 5,609.54, 8,413.59 and 1,712.90

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Solution

The fourth proportional to 5,609.54, 8,413.59 and 1,712.90 is: 2,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.54 : 8,413.59 = 1,712.90 : x
  2. Step 2: Convert to fraction form
    5,609.54/8,413.59 = 1,712.90/x
  3. Step 3: Cross multiply
    5,609.54x = 8,413.59 × 1,712.90
  4. Step 4: Simplify right side
    5,609.54x = 14,411,638.31
  5. Step 5: Solve for x
    x = 14,411,638.31/5,609.54
  6. Step 6: Final answer
    x = 2,569.13

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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.