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Finding the Fourth Proportional to 25,698, 38,547.02 and 7,230

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Solution

The fourth proportional to 25,698, 38,547.02 and 7,230 is: 10,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698 : 38,547.02 = 7,230 : x
  2. Step 2: Convert to fraction form
    25,698/38,547.02 = 7,230/x
  3. Step 3: Cross multiply
    25,698x = 38,547.02 × 7,230
  4. Step 4: Simplify right side
    25,698x = 278,694,954.60
  5. Step 5: Solve for x
    x = 278,694,954.60/25,698
  6. Step 6: Final answer
    x = 10,845.01

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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.