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Finding the Fourth Proportional to 6,477.95, 9,714.54 and 2,316.83

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Solution

The fourth proportional to 6,477.95, 9,714.54 and 2,316.83 is: 3,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.95 : 9,714.54 = 2,316.83 : x
  2. Step 2: Convert to fraction form
    6,477.95/9,714.54 = 2,316.83/x
  3. Step 3: Cross multiply
    6,477.95x = 9,714.54 × 2,316.83
  4. Step 4: Simplify right side
    6,477.95x = 22,506,937.71
  5. Step 5: Solve for x
    x = 22,506,937.71/6,477.95
  6. Step 6: Final answer
    x = 3,474.39

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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.