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Finding the Fourth Proportional to 7,808.01, 10,775.04 and 4,271.22

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Solution

The fourth proportional to 7,808.01, 10,775.04 and 4,271.22 is: 5,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.01 : 10,775.04 = 4,271.22 : x
  2. Step 2: Convert to fraction form
    7,808.01/10,775.04 = 4,271.22/x
  3. Step 3: Cross multiply
    7,808.01x = 10,775.04 × 4,271.22
  4. Step 4: Simplify right side
    7,808.01x = 46,022,566.35
  5. Step 5: Solve for x
    x = 46,022,566.35/7,808.01
  6. Step 6: Final answer
    x = 5,894.28

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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.