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Finding the Fourth Proportional to 7,345.78, 10,137.06 and 4,159.68

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Solution

The fourth proportional to 7,345.78, 10,137.06 and 4,159.68 is: 5,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.78 : 10,137.06 = 4,159.68 : x
  2. Step 2: Convert to fraction form
    7,345.78/10,137.06 = 4,159.68/x
  3. Step 3: Cross multiply
    7,345.78x = 10,137.06 × 4,159.68
  4. Step 4: Simplify right side
    7,345.78x = 42,166,925.74
  5. Step 5: Solve for x
    x = 42,166,925.74/7,345.78
  6. Step 6: Final answer
    x = 5,740.29

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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.