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Finding the Fourth Proportional to 29,673.40, 44,507.22 and 7,785.40

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Solution

The fourth proportional to 29,673.40, 44,507.22 and 7,785.40 is: 11,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,673.40 : 44,507.22 = 7,785.40 : x
  2. Step 2: Convert to fraction form
    29,673.40/44,507.22 = 7,785.40/x
  3. Step 3: Cross multiply
    29,673.40x = 44,507.22 × 7,785.40
  4. Step 4: Simplify right side
    29,673.40x = 346,506,510.59
  5. Step 5: Solve for x
    x = 346,506,510.59/29,673.40
  6. Step 6: Final answer
    x = 11,677.34

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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.