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Finding the Fourth Proportional to 7,054.64, 9,734.93 and 4,070.60

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Solution

The fourth proportional to 7,054.64, 9,734.93 and 4,070.60 is: 5,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.64 : 9,734.93 = 4,070.60 : x
  2. Step 2: Convert to fraction form
    7,054.64/9,734.93 = 4,070.60/x
  3. Step 3: Cross multiply
    7,054.64x = 9,734.93 × 4,070.60
  4. Step 4: Simplify right side
    7,054.64x = 39,627,006.06
  5. Step 5: Solve for x
    x = 39,627,006.06/7,054.64
  6. Step 6: Final answer
    x = 5,617.15

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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.