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Finding the Fourth Proportional to 11,702.95, 17,565.36 and 7,307.08

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Solution

The fourth proportional to 11,702.95, 17,565.36 and 7,307.08 is: 10,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.95 : 17,565.36 = 7,307.08 : x
  2. Step 2: Convert to fraction form
    11,702.95/17,565.36 = 7,307.08/x
  3. Step 3: Cross multiply
    11,702.95x = 17,565.36 × 7,307.08
  4. Step 4: Simplify right side
    11,702.95x = 128,351,490.75
  5. Step 5: Solve for x
    x = 128,351,490.75/11,702.95
  6. Step 6: Final answer
    x = 10,967.45

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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.