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Finding the Fourth Proportional to 9,582.70, 14,345.70 and 7,128.40

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Solution

The fourth proportional to 9,582.70, 14,345.70 and 7,128.40 is: 10,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.70 : 14,345.70 = 7,128.40 : x
  2. Step 2: Convert to fraction form
    9,582.70/14,345.70 = 7,128.40/x
  3. Step 3: Cross multiply
    9,582.70x = 14,345.70 × 7,128.40
  4. Step 4: Simplify right side
    9,582.70x = 102,261,887.88
  5. Step 5: Solve for x
    x = 102,261,887.88/9,582.70
  6. Step 6: Final answer
    x = 10,671.51

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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.