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Finding the Fourth Proportional to 7,009.93, 9,674 and 3,866.32

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Solution

The fourth proportional to 7,009.93, 9,674 and 3,866.32 is: 5,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.93 : 9,674 = 3,866.32 : x
  2. Step 2: Convert to fraction form
    7,009.93/9,674 = 3,866.32/x
  3. Step 3: Cross multiply
    7,009.93x = 9,674 × 3,866.32
  4. Step 4: Simplify right side
    7,009.93x = 37,402,779.68
  5. Step 5: Solve for x
    x = 37,402,779.68/7,009.93
  6. Step 6: Final answer
    x = 5,335.69

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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.