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Finding the Fourth Proportional to 7,045.30, 9,729.09 and 4,531.77

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Solution

The fourth proportional to 7,045.30, 9,729.09 and 4,531.77 is: 6,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.30 : 9,729.09 = 4,531.77 : x
  2. Step 2: Convert to fraction form
    7,045.30/9,729.09 = 4,531.77/x
  3. Step 3: Cross multiply
    7,045.30x = 9,729.09 × 4,531.77
  4. Step 4: Simplify right side
    7,045.30x = 44,090,010.70
  5. Step 5: Solve for x
    x = 44,090,010.70/7,045.30
  6. Step 6: Final answer
    x = 6,258.08

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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.