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Finding the Fourth Proportional to 7,730.02, 10,712.32 and 7,582.33

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Solution

The fourth proportional to 7,730.02, 10,712.32 and 7,582.33 is: 10,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.02 : 10,712.32 = 7,582.33 : x
  2. Step 2: Convert to fraction form
    7,730.02/10,712.32 = 7,582.33/x
  3. Step 3: Cross multiply
    7,730.02x = 10,712.32 × 7,582.33
  4. Step 4: Simplify right side
    7,730.02x = 81,224,345.31
  5. Step 5: Solve for x
    x = 81,224,345.31/7,730.02
  6. Step 6: Final answer
    x = 10,507.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.