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Finding the Fourth Proportional to 9,710.70, 14,554.17 and 6,585.90

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Solution

The fourth proportional to 9,710.70, 14,554.17 and 6,585.90 is: 9,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.70 : 14,554.17 = 6,585.90 : x
  2. Step 2: Convert to fraction form
    9,710.70/14,554.17 = 6,585.90/x
  3. Step 3: Cross multiply
    9,710.70x = 14,554.17 × 6,585.90
  4. Step 4: Simplify right side
    9,710.70x = 95,852,308.20
  5. Step 5: Solve for x
    x = 95,852,308.20/9,710.70
  6. Step 6: Final answer
    x = 9,870.79

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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.