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Finding the Fourth Proportional to 9,897.49, 14,848.71 and 6,981.49

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Solution

The fourth proportional to 9,897.49, 14,848.71 and 6,981.49 is: 10,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.49 : 14,848.71 = 6,981.49 : x
  2. Step 2: Convert to fraction form
    9,897.49/14,848.71 = 6,981.49/x
  3. Step 3: Cross multiply
    9,897.49x = 14,848.71 × 6,981.49
  4. Step 4: Simplify right side
    9,897.49x = 103,666,120.38
  5. Step 5: Solve for x
    x = 103,666,120.38/9,897.49
  6. Step 6: Final answer
    x = 10,473.98

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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.