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Finding the Fourth Proportional to 14,569.80, 21,854.70 and 7,643.40

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Solution

The fourth proportional to 14,569.80, 21,854.70 and 7,643.40 is: 11,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.80 : 21,854.70 = 7,643.40 : x
  2. Step 2: Convert to fraction form
    14,569.80/21,854.70 = 7,643.40/x
  3. Step 3: Cross multiply
    14,569.80x = 21,854.70 × 7,643.40
  4. Step 4: Simplify right side
    14,569.80x = 167,044,213.98
  5. Step 5: Solve for x
    x = 167,044,213.98/14,569.80
  6. Step 6: Final answer
    x = 11,465.10

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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.