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Finding the Fourth Proportional to 12,294.51, 16,961.60 and 7,570.59

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Solution

The fourth proportional to 12,294.51, 16,961.60 and 7,570.59 is: 10,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.51 : 16,961.60 = 7,570.59 : x
  2. Step 2: Convert to fraction form
    12,294.51/16,961.60 = 7,570.59/x
  3. Step 3: Cross multiply
    12,294.51x = 16,961.60 × 7,570.59
  4. Step 4: Simplify right side
    12,294.51x = 128,409,281.49
  5. Step 5: Solve for x
    x = 128,409,281.49/12,294.51
  6. Step 6: Final answer
    x = 10,444.44

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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.