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Finding the Fourth Proportional to 9,702.99, 14,547.60 and 4,767.39

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Solution

The fourth proportional to 9,702.99, 14,547.60 and 4,767.39 is: 7,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.99 : 14,547.60 = 4,767.39 : x
  2. Step 2: Convert to fraction form
    9,702.99/14,547.60 = 4,767.39/x
  3. Step 3: Cross multiply
    9,702.99x = 14,547.60 × 4,767.39
  4. Step 4: Simplify right side
    9,702.99x = 69,354,082.76
  5. Step 5: Solve for x
    x = 69,354,082.76/9,702.99
  6. Step 6: Final answer
    x = 7,147.70

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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.