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Finding the Fourth Proportional to 15,277.60, 22,894.80 and 9,416.80

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Solution

The fourth proportional to 15,277.60, 22,894.80 and 9,416.80 is: 14,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.60 : 22,894.80 = 9,416.80 : x
  2. Step 2: Convert to fraction form
    15,277.60/22,894.80 = 9,416.80/x
  3. Step 3: Cross multiply
    15,277.60x = 22,894.80 × 9,416.80
  4. Step 4: Simplify right side
    15,277.60x = 215,595,752.64
  5. Step 5: Solve for x
    x = 215,595,752.64/15,277.60
  6. Step 6: Final answer
    x = 14,111.89

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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.