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Finding the Fourth Proportional to 25,506.76, 38,262.34 and 7,038.76

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Solution

The fourth proportional to 25,506.76, 38,262.34 and 7,038.76 is: 10,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.76 : 38,262.34 = 7,038.76 : x
  2. Step 2: Convert to fraction form
    25,506.76/38,262.34 = 7,038.76/x
  3. Step 3: Cross multiply
    25,506.76x = 38,262.34 × 7,038.76
  4. Step 4: Simplify right side
    25,506.76x = 269,319,428.30
  5. Step 5: Solve for x
    x = 269,319,428.30/25,506.76
  6. Step 6: Final answer
    x = 10,558.75

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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.