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Finding the Fourth Proportional to 10,575.70, 14,590.86 and 6,035.12

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Solution

The fourth proportional to 10,575.70, 14,590.86 and 6,035.12 is: 8,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.70 : 14,590.86 = 6,035.12 : x
  2. Step 2: Convert to fraction form
    10,575.70/14,590.86 = 6,035.12/x
  3. Step 3: Cross multiply
    10,575.70x = 14,590.86 × 6,035.12
  4. Step 4: Simplify right side
    10,575.70x = 88,057,587.63
  5. Step 5: Solve for x
    x = 88,057,587.63/10,575.70
  6. Step 6: Final answer
    x = 8,326.41

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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.