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Finding the Fourth Proportional to 21,547.38, 32,322.95 and 5,965.14

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Solution

The fourth proportional to 21,547.38, 32,322.95 and 5,965.14 is: 8,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.38 : 32,322.95 = 5,965.14 : x
  2. Step 2: Convert to fraction form
    21,547.38/32,322.95 = 5,965.14/x
  3. Step 3: Cross multiply
    21,547.38x = 32,322.95 × 5,965.14
  4. Step 4: Simplify right side
    21,547.38x = 192,810,921.96
  5. Step 5: Solve for x
    x = 192,810,921.96/21,547.38
  6. Step 6: Final answer
    x = 8,948.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.