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Finding the Fourth Proportional to 5,302.33, 7,971.72 and 4,070.32

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Solution

The fourth proportional to 5,302.33, 7,971.72 and 4,070.32 is: 6,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.33 : 7,971.72 = 4,070.32 : x
  2. Step 2: Convert to fraction form
    5,302.33/7,971.72 = 4,070.32/x
  3. Step 3: Cross multiply
    5,302.33x = 7,971.72 × 4,070.32
  4. Step 4: Simplify right side
    5,302.33x = 32,447,451.35
  5. Step 5: Solve for x
    x = 32,447,451.35/5,302.33
  6. Step 6: Final answer
    x = 6,119.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.