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Finding the Fourth Proportional to 7,810.99, 10,784.51 and 5,794.93

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Solution

The fourth proportional to 7,810.99, 10,784.51 and 5,794.93 is: 8,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.99 : 10,784.51 = 5,794.93 : x
  2. Step 2: Convert to fraction form
    7,810.99/10,784.51 = 5,794.93/x
  3. Step 3: Cross multiply
    7,810.99x = 10,784.51 × 5,794.93
  4. Step 4: Simplify right side
    7,810.99x = 62,495,480.53
  5. Step 5: Solve for x
    x = 62,495,480.53/7,810.99
  6. Step 6: Final answer
    x = 8,000.97

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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.