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Finding the Fourth Proportional to 18,284.64, 25,232.76 and 9,901.14

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Solution

The fourth proportional to 18,284.64, 25,232.76 and 9,901.14 is: 13,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.64 : 25,232.76 = 9,901.14 : x
  2. Step 2: Convert to fraction form
    18,284.64/25,232.76 = 9,901.14/x
  3. Step 3: Cross multiply
    18,284.64x = 25,232.76 × 9,901.14
  4. Step 4: Simplify right side
    18,284.64x = 249,833,089.35
  5. Step 5: Solve for x
    x = 249,833,089.35/18,284.64
  6. Step 6: Final answer
    x = 13,663.55

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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.