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Finding the Fourth Proportional to 9,700.95, 14,553.35 and 6,711.58

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Solution

The fourth proportional to 9,700.95, 14,553.35 and 6,711.58 is: 10,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.95 : 14,553.35 = 6,711.58 : x
  2. Step 2: Convert to fraction form
    9,700.95/14,553.35 = 6,711.58/x
  3. Step 3: Cross multiply
    9,700.95x = 14,553.35 × 6,711.58
  4. Step 4: Simplify right side
    9,700.95x = 97,675,972.79
  5. Step 5: Solve for x
    x = 97,675,972.79/9,700.95
  6. Step 6: Final answer
    x = 10,068.70

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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.