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Finding the Fourth Proportional to 9,585, 14,368.32 and 4,903.20

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Solution

The fourth proportional to 9,585, 14,368.32 and 4,903.20 is: 7,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 14,368.32 = 4,903.20 : x
  2. Step 2: Convert to fraction form
    9,585/14,368.32 = 4,903.20/x
  3. Step 3: Cross multiply
    9,585x = 14,368.32 × 4,903.20
  4. Step 4: Simplify right side
    9,585x = 70,450,746.62
  5. Step 5: Solve for x
    x = 70,450,746.62/9,585
  6. Step 6: Final answer
    x = 7,350.10

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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.