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Finding the Fourth Proportional to 14,595.84, 21,893.88 and 6,275.28

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Solution

The fourth proportional to 14,595.84, 21,893.88 and 6,275.28 is: 9,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.84 : 21,893.88 = 6,275.28 : x
  2. Step 2: Convert to fraction form
    14,595.84/21,893.88 = 6,275.28/x
  3. Step 3: Cross multiply
    14,595.84x = 21,893.88 × 6,275.28
  4. Step 4: Simplify right side
    14,595.84x = 137,390,227.29
  5. Step 5: Solve for x
    x = 137,390,227.29/14,595.84
  6. Step 6: Final answer
    x = 9,412.97

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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.