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Finding the Fourth Proportional to 7,070.04, 9,734.34 and 6,413.94

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Solution

The fourth proportional to 7,070.04, 9,734.34 and 6,413.94 is: 8,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.04 : 9,734.34 = 6,413.94 : x
  2. Step 2: Convert to fraction form
    7,070.04/9,734.34 = 6,413.94/x
  3. Step 3: Cross multiply
    7,070.04x = 9,734.34 × 6,413.94
  4. Step 4: Simplify right side
    7,070.04x = 62,435,472.70
  5. Step 5: Solve for x
    x = 62,435,472.70/7,070.04
  6. Step 6: Final answer
    x = 8,830.99

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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.