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Finding the Fourth Proportional to 13,597.74, 18,765.86 and 7,548.30

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Solution

The fourth proportional to 13,597.74, 18,765.86 and 7,548.30 is: 10,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.74 : 18,765.86 = 7,548.30 : x
  2. Step 2: Convert to fraction form
    13,597.74/18,765.86 = 7,548.30/x
  3. Step 3: Cross multiply
    13,597.74x = 18,765.86 × 7,548.30
  4. Step 4: Simplify right side
    13,597.74x = 141,650,303.30
  5. Step 5: Solve for x
    x = 141,650,303.30/13,597.74
  6. Step 6: Final answer
    x = 10,417.19

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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.