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Finding the Fourth Proportional to 9,973.88, 13,763.88 and 5,497.63

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Solution

The fourth proportional to 9,973.88, 13,763.88 and 5,497.63 is: 7,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.88 : 13,763.88 = 5,497.63 : x
  2. Step 2: Convert to fraction form
    9,973.88/13,763.88 = 5,497.63/x
  3. Step 3: Cross multiply
    9,973.88x = 13,763.88 × 5,497.63
  4. Step 4: Simplify right side
    9,973.88x = 75,668,767.76
  5. Step 5: Solve for x
    x = 75,668,767.76/9,973.88
  6. Step 6: Final answer
    x = 7,586.70

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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.