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Finding the Fourth Proportional to 11,504.64, 15,878.22 and 7,030.98

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Solution

The fourth proportional to 11,504.64, 15,878.22 and 7,030.98 is: 9,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.64 : 15,878.22 = 7,030.98 : x
  2. Step 2: Convert to fraction form
    11,504.64/15,878.22 = 7,030.98/x
  3. Step 3: Cross multiply
    11,504.64x = 15,878.22 × 7,030.98
  4. Step 4: Simplify right side
    11,504.64x = 111,639,447.26
  5. Step 5: Solve for x
    x = 111,639,447.26/11,504.64
  6. Step 6: Final answer
    x = 9,703.86

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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.