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Finding the Fourth Proportional to 14,547.59, 21,824.63 and 7,970.39

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Solution

The fourth proportional to 14,547.59, 21,824.63 and 7,970.39 is: 11,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.59 : 21,824.63 = 7,970.39 : x
  2. Step 2: Convert to fraction form
    14,547.59/21,824.63 = 7,970.39/x
  3. Step 3: Cross multiply
    14,547.59x = 21,824.63 × 7,970.39
  4. Step 4: Simplify right side
    14,547.59x = 173,950,772.85
  5. Step 5: Solve for x
    x = 173,950,772.85/14,547.59
  6. Step 6: Final answer
    x = 11,957.36

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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.