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Finding the Fourth Proportional to 8,681.78, 11,980.85 and 4,703.00

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Solution

The fourth proportional to 8,681.78, 11,980.85 and 4,703.00 is: 6,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.78 : 11,980.85 = 4,703.00 : x
  2. Step 2: Convert to fraction form
    8,681.78/11,980.85 = 4,703.00/x
  3. Step 3: Cross multiply
    8,681.78x = 11,980.85 × 4,703.00
  4. Step 4: Simplify right side
    8,681.78x = 56,345,854.13
  5. Step 5: Solve for x
    x = 56,345,854.13/8,681.78
  6. Step 6: Final answer
    x = 6,490.13

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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.