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Finding the Fourth Proportional to 28,503.90, 42,751.80 and 9,784.80

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Solution

The fourth proportional to 28,503.90, 42,751.80 and 9,784.80 is: 14,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,503.90 : 42,751.80 = 9,784.80 : x
  2. Step 2: Convert to fraction form
    28,503.90/42,751.80 = 9,784.80/x
  3. Step 3: Cross multiply
    28,503.90x = 42,751.80 × 9,784.80
  4. Step 4: Simplify right side
    28,503.90x = 418,317,812.64
  5. Step 5: Solve for x
    x = 418,317,812.64/28,503.90
  6. Step 6: Final answer
    x = 14,675.81

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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.