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Finding the Fourth Proportional to 10,698.90, 14,949.30 and 10,698.90

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Solution

The fourth proportional to 10,698.90, 14,949.30 and 10,698.90 is: 14,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.90 : 14,949.30 = 10,698.90 : x
  2. Step 2: Convert to fraction form
    10,698.90/14,949.30 = 10,698.90/x
  3. Step 3: Cross multiply
    10,698.90x = 14,949.30 × 10,698.90
  4. Step 4: Simplify right side
    10,698.90x = 159,941,065.77
  5. Step 5: Solve for x
    x = 159,941,065.77/10,698.90
  6. Step 6: Final answer
    x = 14,949.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.