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Finding the Fourth Proportional to 9,973.74, 13,763.14 and 5,497.53

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Solution

The fourth proportional to 9,973.74, 13,763.14 and 5,497.53 is: 7,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.74 : 13,763.14 = 5,497.53 : x
  2. Step 2: Convert to fraction form
    9,973.74/13,763.14 = 5,497.53/x
  3. Step 3: Cross multiply
    9,973.74x = 13,763.14 × 5,497.53
  4. Step 4: Simplify right side
    9,973.74x = 75,663,275.04
  5. Step 5: Solve for x
    x = 75,663,275.04/9,973.74
  6. Step 6: Final answer
    x = 7,586.25

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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.