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Finding the Fourth Proportional to 7,564.59, 10,440.50 and 4,582.98

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Solution

The fourth proportional to 7,564.59, 10,440.50 and 4,582.98 is: 6,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.59 : 10,440.50 = 4,582.98 : x
  2. Step 2: Convert to fraction form
    7,564.59/10,440.50 = 4,582.98/x
  3. Step 3: Cross multiply
    7,564.59x = 10,440.50 × 4,582.98
  4. Step 4: Simplify right side
    7,564.59x = 47,848,579.78
  5. Step 5: Solve for x
    x = 47,848,579.78/7,564.59
  6. Step 6: Final answer
    x = 6,325.34

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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.