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Finding the Fourth Proportional to 14,206.64, 19,604.99 and 7,833.46

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Solution

The fourth proportional to 14,206.64, 19,604.99 and 7,833.46 is: 10,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.64 : 19,604.99 = 7,833.46 : x
  2. Step 2: Convert to fraction form
    14,206.64/19,604.99 = 7,833.46/x
  3. Step 3: Cross multiply
    14,206.64x = 19,604.99 × 7,833.46
  4. Step 4: Simplify right side
    14,206.64x = 153,574,868.23
  5. Step 5: Solve for x
    x = 153,574,868.23/14,206.64
  6. Step 6: Final answer
    x = 10,810.08

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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.