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Finding the Fourth Proportional to 16,534.40, 22,817.58 and 9,461

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Solution

The fourth proportional to 16,534.40, 22,817.58 and 9,461 is: 13,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.40 : 22,817.58 = 9,461 : x
  2. Step 2: Convert to fraction form
    16,534.40/22,817.58 = 9,461/x
  3. Step 3: Cross multiply
    16,534.40x = 22,817.58 × 9,461
  4. Step 4: Simplify right side
    16,534.40x = 215,877,124.38
  5. Step 5: Solve for x
    x = 215,877,124.38/16,534.40
  6. Step 6: Final answer
    x = 13,056.24

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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.