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Finding the Fourth Proportional to 9,747, 13,461.80 and 6,597.72

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Solution

The fourth proportional to 9,747, 13,461.80 and 6,597.72 is: 9,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747 : 13,461.80 = 6,597.72 : x
  2. Step 2: Convert to fraction form
    9,747/13,461.80 = 6,597.72/x
  3. Step 3: Cross multiply
    9,747x = 13,461.80 × 6,597.72
  4. Step 4: Simplify right side
    9,747x = 88,817,154.11
  5. Step 5: Solve for x
    x = 88,817,154.11/9,747
  6. Step 6: Final answer
    x = 9,112.26

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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.