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Finding the Fourth Proportional to 25,211.60, 37,823.07 and 7,683.20

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Solution

The fourth proportional to 25,211.60, 37,823.07 and 7,683.20 is: 11,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.60 : 37,823.07 = 7,683.20 : x
  2. Step 2: Convert to fraction form
    25,211.60/37,823.07 = 7,683.20/x
  3. Step 3: Cross multiply
    25,211.60x = 37,823.07 × 7,683.20
  4. Step 4: Simplify right side
    25,211.60x = 290,602,211.42
  5. Step 5: Solve for x
    x = 290,602,211.42/25,211.60
  6. Step 6: Final answer
    x = 11,526.53

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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.