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Finding the Fourth Proportional to 15,647.14, 23,470.89 and 5,258.89

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Solution

The fourth proportional to 15,647.14, 23,470.89 and 5,258.89 is: 7,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.14 : 23,470.89 = 5,258.89 : x
  2. Step 2: Convert to fraction form
    15,647.14/23,470.89 = 5,258.89/x
  3. Step 3: Cross multiply
    15,647.14x = 23,470.89 × 5,258.89
  4. Step 4: Simplify right side
    15,647.14x = 123,430,828.71
  5. Step 5: Solve for x
    x = 123,430,828.71/15,647.14
  6. Step 6: Final answer
    x = 7,888.40

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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.