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Finding the Fourth Proportional to 9,362.10, 14,043.15 and 5,420.10

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Solution

The fourth proportional to 9,362.10, 14,043.15 and 5,420.10 is: 8,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.10 : 14,043.15 = 5,420.10 : x
  2. Step 2: Convert to fraction form
    9,362.10/14,043.15 = 5,420.10/x
  3. Step 3: Cross multiply
    9,362.10x = 14,043.15 × 5,420.10
  4. Step 4: Simplify right side
    9,362.10x = 76,115,277.32
  5. Step 5: Solve for x
    x = 76,115,277.32/9,362.10
  6. Step 6: Final answer
    x = 8,130.15

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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.