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Finding the Fourth Proportional to 12,764.16, 17,611.93 and 7,457.95

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Solution

The fourth proportional to 12,764.16, 17,611.93 and 7,457.95 is: 10,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.16 : 17,611.93 = 7,457.95 : x
  2. Step 2: Convert to fraction form
    12,764.16/17,611.93 = 7,457.95/x
  3. Step 3: Cross multiply
    12,764.16x = 17,611.93 × 7,457.95
  4. Step 4: Simplify right side
    12,764.16x = 131,348,875.15
  5. Step 5: Solve for x
    x = 131,348,875.15/12,764.16
  6. Step 6: Final answer
    x = 10,290.45

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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.