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Finding the Fourth Proportional to 7,052.55, 9,734.25 and 4,070.16

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Solution

The fourth proportional to 7,052.55, 9,734.25 and 4,070.16 is: 5,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.55 : 9,734.25 = 4,070.16 : x
  2. Step 2: Convert to fraction form
    7,052.55/9,734.25 = 4,070.16/x
  3. Step 3: Cross multiply
    7,052.55x = 9,734.25 × 4,070.16
  4. Step 4: Simplify right side
    7,052.55x = 39,619,954.98
  5. Step 5: Solve for x
    x = 39,619,954.98/7,052.55
  6. Step 6: Final answer
    x = 5,617.82

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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.