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Finding the Fourth Proportional to 7,854.60, 11,698.05 and 7,763.88

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Solution

The fourth proportional to 7,854.60, 11,698.05 and 7,763.88 is: 11,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.60 : 11,698.05 = 7,763.88 : x
  2. Step 2: Convert to fraction form
    7,854.60/11,698.05 = 7,763.88/x
  3. Step 3: Cross multiply
    7,854.60x = 11,698.05 × 7,763.88
  4. Step 4: Simplify right side
    7,854.60x = 90,822,256.43
  5. Step 5: Solve for x
    x = 90,822,256.43/7,854.60
  6. Step 6: Final answer
    x = 11,562.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.