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Finding the Fourth Proportional to 9,777.98, 14,596.16 and 8,595.68

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Solution

The fourth proportional to 9,777.98, 14,596.16 and 8,595.68 is: 12,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.98 : 14,596.16 = 8,595.68 : x
  2. Step 2: Convert to fraction form
    9,777.98/14,596.16 = 8,595.68/x
  3. Step 3: Cross multiply
    9,777.98x = 14,596.16 × 8,595.68
  4. Step 4: Simplify right side
    9,777.98x = 125,463,877.61
  5. Step 5: Solve for x
    x = 125,463,877.61/9,777.98
  6. Step 6: Final answer
    x = 12,831.27

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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.