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Finding the Fourth Proportional to 8,488.25, 11,714.69 and 4,762.25

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Solution

The fourth proportional to 8,488.25, 11,714.69 and 4,762.25 is: 6,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.25 : 11,714.69 = 4,762.25 : x
  2. Step 2: Convert to fraction form
    8,488.25/11,714.69 = 4,762.25/x
  3. Step 3: Cross multiply
    8,488.25x = 11,714.69 × 4,762.25
  4. Step 4: Simplify right side
    8,488.25x = 55,788,258.64
  5. Step 5: Solve for x
    x = 55,788,258.64/8,488.25
  6. Step 6: Final answer
    x = 6,572.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.