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Finding the Fourth Proportional to 30,785.00, 46,177.49 and 7,411.43

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Solution

The fourth proportional to 30,785.00, 46,177.49 and 7,411.43 is: 11,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.00 : 46,177.49 = 7,411.43 : x
  2. Step 2: Convert to fraction form
    30,785.00/46,177.49 = 7,411.43/x
  3. Step 3: Cross multiply
    30,785.00x = 46,177.49 × 7,411.43
  4. Step 4: Simplify right side
    30,785.00x = 342,240,966.77
  5. Step 5: Solve for x
    x = 342,240,966.77/30,785.00
  6. Step 6: Final answer
    x = 11,117.14

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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.