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Finding the Fourth Proportional to 9,858.47, 14,809.58 and 9,547.43

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Solution

The fourth proportional to 9,858.47, 14,809.58 and 9,547.43 is: 14,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.47 : 14,809.58 = 9,547.43 : x
  2. Step 2: Convert to fraction form
    9,858.47/14,809.58 = 9,547.43/x
  3. Step 3: Cross multiply
    9,858.47x = 14,809.58 × 9,547.43
  4. Step 4: Simplify right side
    9,858.47x = 141,393,380.64
  5. Step 5: Solve for x
    x = 141,393,380.64/9,858.47
  6. Step 6: Final answer
    x = 14,342.32

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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.