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Finding the Fourth Proportional to 7,547.60, 11,303.16 and 3,840.08

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Solution

The fourth proportional to 7,547.60, 11,303.16 and 3,840.08 is: 5,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.60 : 11,303.16 = 3,840.08 : x
  2. Step 2: Convert to fraction form
    7,547.60/11,303.16 = 3,840.08/x
  3. Step 3: Cross multiply
    7,547.60x = 11,303.16 × 3,840.08
  4. Step 4: Simplify right side
    7,547.60x = 43,405,038.65
  5. Step 5: Solve for x
    x = 43,405,038.65/7,547.60
  6. Step 6: Final answer
    x = 5,750.84

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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.