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Finding the Fourth Proportional to 9,973.41, 13,763.14 and 5,497.08

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Solution

The fourth proportional to 9,973.41, 13,763.14 and 5,497.08 is: 7,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.41 : 13,763.14 = 5,497.08 : x
  2. Step 2: Convert to fraction form
    9,973.41/13,763.14 = 5,497.08/x
  3. Step 3: Cross multiply
    9,973.41x = 13,763.14 × 5,497.08
  4. Step 4: Simplify right side
    9,973.41x = 75,657,081.63
  5. Step 5: Solve for x
    x = 75,657,081.63/9,973.41
  6. Step 6: Final answer
    x = 7,585.88

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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.