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Finding the Fourth Proportional to 30,830.61, 46,245.94 and 7,457.07

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Solution

The fourth proportional to 30,830.61, 46,245.94 and 7,457.07 is: 11,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.61 : 46,245.94 = 7,457.07 : x
  2. Step 2: Convert to fraction form
    30,830.61/46,245.94 = 7,457.07/x
  3. Step 3: Cross multiply
    30,830.61x = 46,245.94 × 7,457.07
  4. Step 4: Simplify right side
    30,830.61x = 344,859,174.51
  5. Step 5: Solve for x
    x = 344,859,174.51/30,830.61
  6. Step 6: Final answer
    x = 11,185.61

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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.