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Finding the Fourth Proportional to 5,070.98, 6,995.96 and 2,946.16

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Solution

The fourth proportional to 5,070.98, 6,995.96 and 2,946.16 is: 4,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.98 : 6,995.96 = 2,946.16 : x
  2. Step 2: Convert to fraction form
    5,070.98/6,995.96 = 2,946.16/x
  3. Step 3: Cross multiply
    5,070.98x = 6,995.96 × 2,946.16
  4. Step 4: Simplify right side
    5,070.98x = 20,611,217.51
  5. Step 5: Solve for x
    x = 20,611,217.51/5,070.98
  6. Step 6: Final answer
    x = 4,064.54

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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.