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Finding the Fourth Proportional to 7,506, 10,357.38 and 4,480.56

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Solution

The fourth proportional to 7,506, 10,357.38 and 4,480.56 is: 6,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 10,357.38 = 4,480.56 : x
  2. Step 2: Convert to fraction form
    7,506/10,357.38 = 4,480.56/x
  3. Step 3: Cross multiply
    7,506x = 10,357.38 × 4,480.56
  4. Step 4: Simplify right side
    7,506x = 46,406,862.53
  5. Step 5: Solve for x
    x = 46,406,862.53/7,506
  6. Step 6: Final answer
    x = 6,182.64

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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.