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Finding the Fourth Proportional to 25,210.76, 37,816.16 and 6,742.76

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Solution

The fourth proportional to 25,210.76, 37,816.16 and 6,742.76 is: 10,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210.76 : 37,816.16 = 6,742.76 : x
  2. Step 2: Convert to fraction form
    25,210.76/37,816.16 = 6,742.76/x
  3. Step 3: Cross multiply
    25,210.76x = 37,816.16 × 6,742.76
  4. Step 4: Simplify right side
    25,210.76x = 254,985,291.00
  5. Step 5: Solve for x
    x = 254,985,291.00/25,210.76
  6. Step 6: Final answer
    x = 10,114.15

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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.