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Finding the Fourth Proportional to 15,443.16, 23,164.74 and 6,207

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Solution

The fourth proportional to 15,443.16, 23,164.74 and 6,207 is: 9,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,443.16 : 23,164.74 = 6,207 : x
  2. Step 2: Convert to fraction form
    15,443.16/23,164.74 = 6,207/x
  3. Step 3: Cross multiply
    15,443.16x = 23,164.74 × 6,207
  4. Step 4: Simplify right side
    15,443.16x = 143,783,541.18
  5. Step 5: Solve for x
    x = 143,783,541.18/15,443.16
  6. Step 6: Final answer
    x = 9,310.50

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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.