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Finding the Fourth Proportional to 9,715.34, 14,573.02 and 4,165.10

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Solution

The fourth proportional to 9,715.34, 14,573.02 and 4,165.10 is: 6,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.34 : 14,573.02 = 4,165.10 : x
  2. Step 2: Convert to fraction form
    9,715.34/14,573.02 = 4,165.10/x
  3. Step 3: Cross multiply
    9,715.34x = 14,573.02 × 4,165.10
  4. Step 4: Simplify right side
    9,715.34x = 60,698,085.60
  5. Step 5: Solve for x
    x = 60,698,085.60/9,715.34
  6. Step 6: Final answer
    x = 6,247.65

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Double scale
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Similar ratio
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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.