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Finding the Fourth Proportional to 10,071.40, 15,107.10 and 9,585.40

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Solution

The fourth proportional to 10,071.40, 15,107.10 and 9,585.40 is: 14,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.40 : 15,107.10 = 9,585.40 : x
  2. Step 2: Convert to fraction form
    10,071.40/15,107.10 = 9,585.40/x
  3. Step 3: Cross multiply
    10,071.40x = 15,107.10 × 9,585.40
  4. Step 4: Simplify right side
    10,071.40x = 144,807,596.34
  5. Step 5: Solve for x
    x = 144,807,596.34/10,071.40
  6. Step 6: Final answer
    x = 14,378.10

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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.