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Finding the Fourth Proportional to 30,883.68, 46,325.06 and 9,825.00

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Solution

The fourth proportional to 30,883.68, 46,325.06 and 9,825.00 is: 14,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.68 : 46,325.06 = 9,825.00 : x
  2. Step 2: Convert to fraction form
    30,883.68/46,325.06 = 9,825.00/x
  3. Step 3: Cross multiply
    30,883.68x = 46,325.06 × 9,825.00
  4. Step 4: Simplify right side
    30,883.68x = 455,143,583.77
  5. Step 5: Solve for x
    x = 455,143,583.77/30,883.68
  6. Step 6: Final answer
    x = 14,737.35

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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.