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Finding the Fourth Proportional to 7,009.65, 9,673.16 and 4,356.90

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Solution

The fourth proportional to 7,009.65, 9,673.16 and 4,356.90 is: 6,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.65 : 9,673.16 = 4,356.90 : x
  2. Step 2: Convert to fraction form
    7,009.65/9,673.16 = 4,356.90/x
  3. Step 3: Cross multiply
    7,009.65x = 9,673.16 × 4,356.90
  4. Step 4: Simplify right side
    7,009.65x = 42,144,969.02
  5. Step 5: Solve for x
    x = 42,144,969.02/7,009.65
  6. Step 6: Final answer
    x = 6,012.42

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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.