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Finding the Fourth Proportional to 9,805.75, 14,700.35 and 4,254.91

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Solution

The fourth proportional to 9,805.75, 14,700.35 and 4,254.91 is: 6,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.75 : 14,700.35 = 4,254.91 : x
  2. Step 2: Convert to fraction form
    9,805.75/14,700.35 = 4,254.91/x
  3. Step 3: Cross multiply
    9,805.75x = 14,700.35 × 4,254.91
  4. Step 4: Simplify right side
    9,805.75x = 62,548,666.22
  5. Step 5: Solve for x
    x = 62,548,666.22/9,805.75
  6. Step 6: Final answer
    x = 6,378.77

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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.