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Finding the Fourth Proportional to 7,809.16, 11,713.63 and 1,886.00

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Solution

The fourth proportional to 7,809.16, 11,713.63 and 1,886.00 is: 2,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.16 : 11,713.63 = 1,886.00 : x
  2. Step 2: Convert to fraction form
    7,809.16/11,713.63 = 1,886.00/x
  3. Step 3: Cross multiply
    7,809.16x = 11,713.63 × 1,886.00
  4. Step 4: Simplify right side
    7,809.16x = 22,091,854.95
  5. Step 5: Solve for x
    x = 22,091,854.95/7,809.16
  6. Step 6: Final answer
    x = 2,828.97

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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.