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Finding the Fourth Proportional to 10,564.57, 14,579.54 and 5,848.89

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Solution

The fourth proportional to 10,564.57, 14,579.54 and 5,848.89 is: 8,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.57 : 14,579.54 = 5,848.89 : x
  2. Step 2: Convert to fraction form
    10,564.57/14,579.54 = 5,848.89/x
  3. Step 3: Cross multiply
    10,564.57x = 14,579.54 × 5,848.89
  4. Step 4: Simplify right side
    10,564.57x = 85,274,125.71
  5. Step 5: Solve for x
    x = 85,274,125.71/10,564.57
  6. Step 6: Final answer
    x = 8,071.71

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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.