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Finding the Fourth Proportional to 8,681.46, 11,973.36 and 5,323.98

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Solution

The fourth proportional to 8,681.46, 11,973.36 and 5,323.98 is: 7,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.46 : 11,973.36 = 5,323.98 : x
  2. Step 2: Convert to fraction form
    8,681.46/11,973.36 = 5,323.98/x
  3. Step 3: Cross multiply
    8,681.46x = 11,973.36 × 5,323.98
  4. Step 4: Simplify right side
    8,681.46x = 63,745,929.17
  5. Step 5: Solve for x
    x = 63,745,929.17/8,681.46
  6. Step 6: Final answer
    x = 7,342.77

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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.