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Finding the Fourth Proportional to 30,842.47, 46,265.53 and 9,782.12

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Solution

The fourth proportional to 30,842.47, 46,265.53 and 9,782.12 is: 14,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.47 : 46,265.53 = 9,782.12 : x
  2. Step 2: Convert to fraction form
    30,842.47/46,265.53 = 9,782.12/x
  3. Step 3: Cross multiply
    30,842.47x = 46,265.53 × 9,782.12
  4. Step 4: Simplify right side
    30,842.47x = 452,574,815.63
  5. Step 5: Solve for x
    x = 452,574,815.63/30,842.47
  6. Step 6: Final answer
    x = 14,673.75

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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.