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Finding the Fourth Proportional to 12,314.53, 16,994.07 and 7,009.35

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Solution

The fourth proportional to 12,314.53, 16,994.07 and 7,009.35 is: 9,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.53 : 16,994.07 = 7,009.35 : x
  2. Step 2: Convert to fraction form
    12,314.53/16,994.07 = 7,009.35/x
  3. Step 3: Cross multiply
    12,314.53x = 16,994.07 × 7,009.35
  4. Step 4: Simplify right side
    12,314.53x = 119,117,359.51
  5. Step 5: Solve for x
    x = 119,117,359.51/12,314.53
  6. Step 6: Final answer
    x = 9,672.91

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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.