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Finding the Fourth Proportional to 21,547.76, 32,323.32 and 5,965.38

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Solution

The fourth proportional to 21,547.76, 32,323.32 and 5,965.38 is: 8,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.76 : 32,323.32 = 5,965.38 : x
  2. Step 2: Convert to fraction form
    21,547.76/32,323.32 = 5,965.38/x
  3. Step 3: Cross multiply
    21,547.76x = 32,323.32 × 5,965.38
  4. Step 4: Simplify right side
    21,547.76x = 192,820,886.66
  5. Step 5: Solve for x
    x = 192,820,886.66/21,547.76
  6. Step 6: Final answer
    x = 8,948.54

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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.