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Finding the Fourth Proportional to 25,283.57, 37,929.32 and 7,751.57

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Solution

The fourth proportional to 25,283.57, 37,929.32 and 7,751.57 is: 11,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,283.57 : 37,929.32 = 7,751.57 : x
  2. Step 2: Convert to fraction form
    25,283.57/37,929.32 = 7,751.57/x
  3. Step 3: Cross multiply
    25,283.57x = 37,929.32 × 7,751.57
  4. Step 4: Simplify right side
    25,283.57x = 294,011,779.03
  5. Step 5: Solve for x
    x = 294,011,779.03/25,283.57
  6. Step 6: Final answer
    x = 11,628.57

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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.