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Finding the Fourth Proportional to 4,502.69, 6,754.38 and 1,215.74

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Solution

The fourth proportional to 4,502.69, 6,754.38 and 1,215.74 is: 1,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.69 : 6,754.38 = 1,215.74 : x
  2. Step 2: Convert to fraction form
    4,502.69/6,754.38 = 1,215.74/x
  3. Step 3: Cross multiply
    4,502.69x = 6,754.38 × 1,215.74
  4. Step 4: Simplify right side
    4,502.69x = 8,211,547.69
  5. Step 5: Solve for x
    x = 8,211,547.69/4,502.69
  6. Step 6: Final answer
    x = 1,823.70

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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.