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Finding the Fourth Proportional to 25,298.16, 37,927.74 and 9,502.84

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Solution

The fourth proportional to 25,298.16, 37,927.74 and 9,502.84 is: 14,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298.16 : 37,927.74 = 9,502.84 : x
  2. Step 2: Convert to fraction form
    25,298.16/37,927.74 = 9,502.84/x
  3. Step 3: Cross multiply
    25,298.16x = 37,927.74 × 9,502.84
  4. Step 4: Simplify right side
    25,298.16x = 360,421,244.78
  5. Step 5: Solve for x
    x = 360,421,244.78/25,298.16
  6. Step 6: Final answer
    x = 14,246.94

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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.