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Finding the Fourth Proportional to 9,894.74, 14,785.32 and 9,710.06

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Solution

The fourth proportional to 9,894.74, 14,785.32 and 9,710.06 is: 14,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.74 : 14,785.32 = 9,710.06 : x
  2. Step 2: Convert to fraction form
    9,894.74/14,785.32 = 9,710.06/x
  3. Step 3: Cross multiply
    9,894.74x = 14,785.32 × 9,710.06
  4. Step 4: Simplify right side
    9,894.74x = 143,566,344.32
  5. Step 5: Solve for x
    x = 143,566,344.32/9,894.74
  6. Step 6: Final answer
    x = 14,509.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.