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Finding the Fourth Proportional to 9,705.94, 13,394.74 and 7,343.98

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Solution

The fourth proportional to 9,705.94, 13,394.74 and 7,343.98 is: 10,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.94 : 13,394.74 = 7,343.98 : x
  2. Step 2: Convert to fraction form
    9,705.94/13,394.74 = 7,343.98/x
  3. Step 3: Cross multiply
    9,705.94x = 13,394.74 × 7,343.98
  4. Step 4: Simplify right side
    9,705.94x = 98,370,702.67
  5. Step 5: Solve for x
    x = 98,370,702.67/9,705.94
  6. Step 6: Final answer
    x = 10,135.10

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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.