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Finding the Fourth Proportional to 10,980.30, 16,470.45 and 10,980.30

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Solution

The fourth proportional to 10,980.30, 16,470.45 and 10,980.30 is: 16,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.30 : 16,470.45 = 10,980.30 : x
  2. Step 2: Convert to fraction form
    10,980.30/16,470.45 = 10,980.30/x
  3. Step 3: Cross multiply
    10,980.30x = 16,470.45 × 10,980.30
  4. Step 4: Simplify right side
    10,980.30x = 180,850,482.14
  5. Step 5: Solve for x
    x = 180,850,482.14/10,980.30
  6. Step 6: Final answer
    x = 16,470.45

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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.