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Finding the Fourth Proportional to 14,237.16, 19,647.54 and 7,949.40

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Solution

The fourth proportional to 14,237.16, 19,647.54 and 7,949.40 is: 10,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.16 : 19,647.54 = 7,949.40 : x
  2. Step 2: Convert to fraction form
    14,237.16/19,647.54 = 7,949.40/x
  3. Step 3: Cross multiply
    14,237.16x = 19,647.54 × 7,949.40
  4. Step 4: Simplify right side
    14,237.16x = 156,186,154.48
  5. Step 5: Solve for x
    x = 156,186,154.48/14,237.16
  6. Step 6: Final answer
    x = 10,970.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.