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Finding the Fourth Proportional to 7,011, 9,675.32 and 4,531.32

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Solution

The fourth proportional to 7,011, 9,675.32 and 4,531.32 is: 6,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011 : 9,675.32 = 4,531.32 : x
  2. Step 2: Convert to fraction form
    7,011/9,675.32 = 4,531.32/x
  3. Step 3: Cross multiply
    7,011x = 9,675.32 × 4,531.32
  4. Step 4: Simplify right side
    7,011x = 43,841,971.02
  5. Step 5: Solve for x
    x = 43,841,971.02/7,011
  6. Step 6: Final answer
    x = 6,253.31

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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.