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Finding the Fourth Proportional to 12,356.40, 18,526.41 and 6,812.40

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Solution

The fourth proportional to 12,356.40, 18,526.41 and 6,812.40 is: 10,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.40 : 18,526.41 = 6,812.40 : x
  2. Step 2: Convert to fraction form
    12,356.40/18,526.41 = 6,812.40/x
  3. Step 3: Cross multiply
    12,356.40x = 18,526.41 × 6,812.40
  4. Step 4: Simplify right side
    12,356.40x = 126,209,315.48
  5. Step 5: Solve for x
    x = 126,209,315.48/12,356.40
  6. Step 6: Final answer
    x = 10,214.08

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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.