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Finding the Fourth Proportional to 9,237.68, 12,748.93 and 5,462.06

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Solution

The fourth proportional to 9,237.68, 12,748.93 and 5,462.06 is: 7,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.68 : 12,748.93 = 5,462.06 : x
  2. Step 2: Convert to fraction form
    9,237.68/12,748.93 = 5,462.06/x
  3. Step 3: Cross multiply
    9,237.68x = 12,748.93 × 5,462.06
  4. Step 4: Simplify right side
    9,237.68x = 69,635,393.29
  5. Step 5: Solve for x
    x = 69,635,393.29/9,237.68
  6. Step 6: Final answer
    x = 7,538.19

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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.