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Finding the Fourth Proportional to 24,927.84, 37,387.44 and 6,459.84

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Solution

The fourth proportional to 24,927.84, 37,387.44 and 6,459.84 is: 9,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.84 : 37,387.44 = 6,459.84 : x
  2. Step 2: Convert to fraction form
    24,927.84/37,387.44 = 6,459.84/x
  3. Step 3: Cross multiply
    24,927.84x = 37,387.44 × 6,459.84
  4. Step 4: Simplify right side
    24,927.84x = 241,516,880.41
  5. Step 5: Solve for x
    x = 241,516,880.41/24,927.84
  6. Step 6: Final answer
    x = 9,688.64

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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.