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Finding the Fourth Proportional to 15,641.84, 21,592.50 and 9,353

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Solution

The fourth proportional to 15,641.84, 21,592.50 and 9,353 is: 12,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.84 : 21,592.50 = 9,353 : x
  2. Step 2: Convert to fraction form
    15,641.84/21,592.50 = 9,353/x
  3. Step 3: Cross multiply
    15,641.84x = 21,592.50 × 9,353
  4. Step 4: Simplify right side
    15,641.84x = 201,954,652.50
  5. Step 5: Solve for x
    x = 201,954,652.50/15,641.84
  6. Step 6: Final answer
    x = 12,911.18

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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.