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Finding the Fourth Proportional to 9,969.93, 14,957.64 and 4,043.16

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Solution

The fourth proportional to 9,969.93, 14,957.64 and 4,043.16 is: 6,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.93 : 14,957.64 = 4,043.16 : x
  2. Step 2: Convert to fraction form
    9,969.93/14,957.64 = 4,043.16/x
  3. Step 3: Cross multiply
    9,969.93x = 14,957.64 × 4,043.16
  4. Step 4: Simplify right side
    9,969.93x = 60,476,131.74
  5. Step 5: Solve for x
    x = 60,476,131.74/9,969.93
  6. Step 6: Final answer
    x = 6,065.85

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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.