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Finding the Fourth Proportional to 25,015, 37,522.88 and 6,547

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Solution

The fourth proportional to 25,015, 37,522.88 and 6,547 is: 9,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,015 : 37,522.88 = 6,547 : x
  2. Step 2: Convert to fraction form
    25,015/37,522.88 = 6,547/x
  3. Step 3: Cross multiply
    25,015x = 37,522.88 × 6,547
  4. Step 4: Simplify right side
    25,015x = 245,662,295.36
  5. Step 5: Solve for x
    x = 245,662,295.36/25,015
  6. Step 6: Final answer
    x = 9,820.60

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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.