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Finding the Fourth Proportional to 10,497, 14,482.99 and 7,306.72

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Solution

The fourth proportional to 10,497, 14,482.99 and 7,306.72 is: 10,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 14,482.99 = 7,306.72 : x
  2. Step 2: Convert to fraction form
    10,497/14,482.99 = 7,306.72/x
  3. Step 3: Cross multiply
    10,497x = 14,482.99 × 7,306.72
  4. Step 4: Simplify right side
    10,497x = 105,823,043.74
  5. Step 5: Solve for x
    x = 105,823,043.74/10,497
  6. Step 6: Final answer
    x = 10,081.27

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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.