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Finding the Fourth Proportional to 4,663.94, 6,995.91 and 1,585.94

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Solution

The fourth proportional to 4,663.94, 6,995.91 and 1,585.94 is: 2,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.94 : 6,995.91 = 1,585.94 : x
  2. Step 2: Convert to fraction form
    4,663.94/6,995.91 = 1,585.94/x
  3. Step 3: Cross multiply
    4,663.94x = 6,995.91 × 1,585.94
  4. Step 4: Simplify right side
    4,663.94x = 11,095,093.51
  5. Step 5: Solve for x
    x = 11,095,093.51/4,663.94
  6. Step 6: Final answer
    x = 2,378.91

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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.