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Finding the Fourth Proportional to 30,775.82, 46,164.70 and 9,716.06

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Solution

The fourth proportional to 30,775.82, 46,164.70 and 9,716.06 is: 14,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.82 : 46,164.70 = 9,716.06 : x
  2. Step 2: Convert to fraction form
    30,775.82/46,164.70 = 9,716.06/x
  3. Step 3: Cross multiply
    30,775.82x = 46,164.70 × 9,716.06
  4. Step 4: Simplify right side
    30,775.82x = 448,538,995.08
  5. Step 5: Solve for x
    x = 448,538,995.08/30,775.82
  6. Step 6: Final answer
    x = 14,574.40

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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.