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Finding the Fourth Proportional to 30,959.34, 46,424.79 and 9,894.74

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Solution

The fourth proportional to 30,959.34, 46,424.79 and 9,894.74 is: 14,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.34 : 46,424.79 = 9,894.74 : x
  2. Step 2: Convert to fraction form
    30,959.34/46,424.79 = 9,894.74/x
  3. Step 3: Cross multiply
    30,959.34x = 46,424.79 × 9,894.74
  4. Step 4: Simplify right side
    30,959.34x = 459,360,994.48
  5. Step 5: Solve for x
    x = 459,360,994.48/30,959.34
  6. Step 6: Final answer
    x = 14,837.56

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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.