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Finding the Fourth Proportional to 6,470.24, 9,705.06 and 1,853.24

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Solution

The fourth proportional to 6,470.24, 9,705.06 and 1,853.24 is: 2,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.24 : 9,705.06 = 1,853.24 : x
  2. Step 2: Convert to fraction form
    6,470.24/9,705.06 = 1,853.24/x
  3. Step 3: Cross multiply
    6,470.24x = 9,705.06 × 1,853.24
  4. Step 4: Simplify right side
    6,470.24x = 17,985,805.39
  5. Step 5: Solve for x
    x = 17,985,805.39/6,470.24
  6. Step 6: Final answer
    x = 2,779.77

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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.