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Finding the Fourth Proportional to 7,705.74, 10,633.74 and 4,348.46

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Solution

The fourth proportional to 7,705.74, 10,633.74 and 4,348.46 is: 6,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.74 : 10,633.74 = 4,348.46 : x
  2. Step 2: Convert to fraction form
    7,705.74/10,633.74 = 4,348.46/x
  3. Step 3: Cross multiply
    7,705.74x = 10,633.74 × 4,348.46
  4. Step 4: Simplify right side
    7,705.74x = 46,240,393.04
  5. Step 5: Solve for x
    x = 46,240,393.04/7,705.74
  6. Step 6: Final answer
    x = 6,000.77

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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.