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Finding the Fourth Proportional to 10,597.84, 14,631.74 and 6,822.40

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Solution

The fourth proportional to 10,597.84, 14,631.74 and 6,822.40 is: 9,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.84 : 14,631.74 = 6,822.40 : x
  2. Step 2: Convert to fraction form
    10,597.84/14,631.74 = 6,822.40/x
  3. Step 3: Cross multiply
    10,597.84x = 14,631.74 × 6,822.40
  4. Step 4: Simplify right side
    10,597.84x = 99,823,582.98
  5. Step 5: Solve for x
    x = 99,823,582.98/10,597.84
  6. Step 6: Final answer
    x = 9,419.24

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Double scale
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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.