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Finding the Fourth Proportional to 35,083.94, 52,615.98 and 9,777.65

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Solution

The fourth proportional to 35,083.94, 52,615.98 and 9,777.65 is: 14,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083.94 : 52,615.98 = 9,777.65 : x
  2. Step 2: Convert to fraction form
    35,083.94/52,615.98 = 9,777.65/x
  3. Step 3: Cross multiply
    35,083.94x = 52,615.98 × 9,777.65
  4. Step 4: Simplify right side
    35,083.94x = 514,460,373.77
  5. Step 5: Solve for x
    x = 514,460,373.77/35,083.94
  6. Step 6: Final answer
    x = 14,663.70

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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.