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Finding the Fourth Proportional to 25,298.80, 37,948.20 and 9,716.80

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Solution

The fourth proportional to 25,298.80, 37,948.20 and 9,716.80 is: 14,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298.80 : 37,948.20 = 9,716.80 : x
  2. Step 2: Convert to fraction form
    25,298.80/37,948.20 = 9,716.80/x
  3. Step 3: Cross multiply
    25,298.80x = 37,948.20 × 9,716.80
  4. Step 4: Simplify right side
    25,298.80x = 368,735,069.76
  5. Step 5: Solve for x
    x = 368,735,069.76/25,298.80
  6. Step 6: Final answer
    x = 14,575.20

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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.