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Finding the Fourth Proportional to 5,624.66, 7,762.25 and 3,106.90

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Solution

The fourth proportional to 5,624.66, 7,762.25 and 3,106.90 is: 4,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.66 : 7,762.25 = 3,106.90 : x
  2. Step 2: Convert to fraction form
    5,624.66/7,762.25 = 3,106.90/x
  3. Step 3: Cross multiply
    5,624.66x = 7,762.25 × 3,106.90
  4. Step 4: Simplify right side
    5,624.66x = 24,116,534.53
  5. Step 5: Solve for x
    x = 24,116,534.53/5,624.66
  6. Step 6: Final answer
    x = 4,287.64

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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.