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Finding the Fourth Proportional to 7,678.19, 10,594.19 and 4,490.64

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Solution

The fourth proportional to 7,678.19, 10,594.19 and 4,490.64 is: 6,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.19 : 10,594.19 = 4,490.64 : x
  2. Step 2: Convert to fraction form
    7,678.19/10,594.19 = 4,490.64/x
  3. Step 3: Cross multiply
    7,678.19x = 10,594.19 × 4,490.64
  4. Step 4: Simplify right side
    7,678.19x = 47,574,704.61
  5. Step 5: Solve for x
    x = 47,574,704.61/7,678.19
  6. Step 6: Final answer
    x = 6,196.08

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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.