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Finding the Fourth Proportional to 12,973.68, 17,903.16 and 7,671.60

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Solution

The fourth proportional to 12,973.68, 17,903.16 and 7,671.60 is: 10,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.68 : 17,903.16 = 7,671.60 : x
  2. Step 2: Convert to fraction form
    12,973.68/17,903.16 = 7,671.60/x
  3. Step 3: Cross multiply
    12,973.68x = 17,903.16 × 7,671.60
  4. Step 4: Simplify right side
    12,973.68x = 137,345,882.26
  5. Step 5: Solve for x
    x = 137,345,882.26/12,973.68
  6. Step 6: Final answer
    x = 10,586.50

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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.