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Finding the Fourth Proportional to 31,175.91, 46,763.87 and 7,802.35

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Solution

The fourth proportional to 31,175.91, 46,763.87 and 7,802.35 is: 11,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.91 : 46,763.87 = 7,802.35 : x
  2. Step 2: Convert to fraction form
    31,175.91/46,763.87 = 7,802.35/x
  3. Step 3: Cross multiply
    31,175.91x = 46,763.87 × 7,802.35
  4. Step 4: Simplify right side
    31,175.91x = 364,867,925.17
  5. Step 5: Solve for x
    x = 364,867,925.17/31,175.91
  6. Step 6: Final answer
    x = 11,703.52

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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.