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Finding the Fourth Proportional to 9,758.10, 13,465.88 and 5,509.32

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Solution

The fourth proportional to 9,758.10, 13,465.88 and 5,509.32 is: 7,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.10 : 13,465.88 = 5,509.32 : x
  2. Step 2: Convert to fraction form
    9,758.10/13,465.88 = 5,509.32/x
  3. Step 3: Cross multiply
    9,758.10x = 13,465.88 × 5,509.32
  4. Step 4: Simplify right side
    9,758.10x = 74,187,842.00
  5. Step 5: Solve for x
    x = 74,187,842.00/9,758.10
  6. Step 6: Final answer
    x = 7,602.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.