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Finding the Fourth Proportional to 4,699.34, 7,007.53 and 4,657.16

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Solution

The fourth proportional to 4,699.34, 7,007.53 and 4,657.16 is: 6,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.34 : 7,007.53 = 4,657.16 : x
  2. Step 2: Convert to fraction form
    4,699.34/7,007.53 = 4,657.16/x
  3. Step 3: Cross multiply
    4,699.34x = 7,007.53 × 4,657.16
  4. Step 4: Simplify right side
    4,699.34x = 32,635,194.29
  5. Step 5: Solve for x
    x = 32,635,194.29/4,699.34
  6. Step 6: Final answer
    x = 6,944.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.